We can use the greatest common factor and the least common multiple to do this. The greatest common factor (GCF) is the largest number that is a factor of two or more numbers, and the least common multiple (LCM) is the smallest number that is a multiple of two or more numbers.
Can the Greatest Common Factor of two numbers be greater than either number?
Answer: No, G.C.F. of pair of numbers can never be greater than both numbers. Step-by-step explanation: G.C.F. (Greatest Common Factor) of pair of numbers is defined as the greatest factor of both the number that exactly divides both numbers.
Is GCF greater than LCM?
LCM stands for Least Common Multiple while GCF stands for Greatest Common Factor. Given any two numbers, LCM of the numbers is greater than the GCF of the numbers. Because LCM multiplies all the multiples of both numbers while GCF multiples only the factors found in both numbers.
What is the HCF and LCM of 90 and 144?
Answer: HCF of 90 and 144 is 18, and the LCM of 90 and 144 is 720.
How do you calculate the greatest common factor?
Given two whole numbers, subtract the smaller number from the larger number and note the result. Repeat the process subtracting the smaller number from the result until the result is smaller than the original small number. Use the original small number as the new larger number. Subtract the result from Step 2 from the new larger number.
Which is the smallest factor of a number?
The factors(noun) of a number are the numbers that divide evenly into the number. For example the factors of the number 12 are the numbers 1, 2, 3, 4, 6 and 12. (Notice that the smallest factor is always 1 and the biggest factor is always the number itself.)
Can a number have more than one common factor?
Numbers such as 24 and 35 do not have any common factor apart from 1. In this case the HCF would be 1. 1 is always a factor of every number.
Which is the largest of all the common factors?
The greatest common factoris the largest of all the common factors. The greatest common factor of 40 and 50 is 10. Here are some more examples of greatest common factors: the GCF of 24 and 30 is 6