HCF of two numbers is the highest common number, which is available in both the numbers. Sometimes, it is also called the greatest common factor (GCF) or greatest common divisor (GCD). For example, the HCF of 2 and 4 is 2, because 2 is the number which is common to both 2 and 4.
What is the LCM of two numbers that are the same?
Calculator Use For two integers a and b, denoted LCM(a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30. The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set.
What are the 2 methods of HCF?
We can find HCF and LCM of given natural numbers by two methods i.e., by prime factorization method or division method. In the prime factorization method, given numbers are written as the product of prime factors.
What’s the difference between a HCF and a LCM?
The HCF defines the greatest factor present in between given two or more numbers, whereas LCM defines the least number which is exactly divisible by two or more numbers. HCF is also called the greatest common factor (GCF) and LCM is also called the Least Common Divisor.
Can two numbers have 16 as their HCF and 380 as their LCM?
For two numbers, their LCM is the smallest number which is a multiple of both. Now, HCF divides both numbers. And both numbers perfectly divide LCM. So, HCF must perfectly divide LCM. In other words, for LCM÷HCF, remainder must be zero. Since the LCM of two numbers is a factor of their HCF….. Therefore here 380 must be a factor of 16….
Which is the largest HCF for two numbers?
For two numbers, their HCF is the largest number which divides both. For two numbers, their LCM is the smallest number which is a multiple of both. Now, HCF divides both numbers. And both numbers perfectly divide LCM. So, HCF must perfectly divide LCM. In other words, for LCM÷HCF, remainder must be zero. Rate! Rate!
Which is the HCF of two numbers without a remainder?
As the rules of mathematics dictate, the greatest common divisor or the gcd of two or more integers, when at least one of them is not zero, happens to be the largest positive that divides the numbers without a remainder. For instance, take 8 and 12, the gcd of these two numbers or the HCF of two numbers will be 4.
