So, for a pair of numbers, LCM must be completely divisible by the HCF of those two numbers. Therefore, if two numbers have 16 as their HCF and 380 as their LCM then, 380 must be completely divisible by 16. So, two numbers can’t have 16 as their HCF and 380 as their LCM.
Can two numbers have 16 as HCF?
There cannot be two numbers having 16 as their HCF and 380 as their LCM.
Can 2 numbers have 14 as their HCF and 204 as their LCM give reasons to support you answers?
Two numbers cannot have 14 as their HCF and 204 as their LCM. Therefore, two numbers cannot have 14 as their HCF and 204 as their LCM.
Can the HCF of two numbers be 14 and LCM be 204?
as we can see that HCF is not a factor of LCM. Therefore, two numbers cannot have 14 as their HCF and 204 as their LCM.
What is the HCF of 160 and 352?
The GCF of 160 and 352 is 32.
Is HCF a factor of LCM?
The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.
What is the LCM of 204?
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204 and factors of 201 are 1, 3, 67, 201. Therefore, the Least Common Multiple of 204 and 201 is 13668 and Greatest Common Factor (GCF) of 204 and 201 is 3. Example 3: Find if 2, 6, 34, 68, 102, 195 and 204 are factors of 204.
Is the product of three numbers always equal to the product of their HCF and LCM?
no the product of three numbers will never equal to the product of their hcf and lcm.
Can there be two numbers with 16 as their HCF?
There cannot be two numbers having 16 as their HCF and 380 as their LCM. We know that the product of two numbers is equal to the product of their LCM and HCF. Let the two numbers be a and b.
Can two numbers have 16 as their HCF and 380 as their LCM?
On dividing 380 by 16 , we get quotient as 23 and 12 as the remainder. Here, LCM is not exactly divisible by the HCF. Hence, two number cannot have 16 as their HCF and 380 as their LCM. HOPE THIS ANSWER WILL HELP YOU…
Can two numbers have 14 as their HCF and 204 as their LCM?
No. The LCM (lowest common multiple) must be divisible by the HCF (highest common factor) according to the definitions of these terms, but 204 is not divisible by 14. See, for example, What is LCM and HCF and How to Solve LCM and HCF Questions?
How is the HCF of two numbers calculated?
HCF (Highest Common Factor) of two or more numbers = Product of the smallest Power of each common prime factor involved in the numbers.] LCM of two or more numbers = product of the greatest power of each prime factor involved in the numbers, with highest power. GIVEN : HCF of two numbers = 16 & LCM of two numbers = 380
