Never true. Question 908532: When one number is a multiple of another, the GCF of the numbers is the greater of the numbers. This is never true since the GCF is a factor of both numbers. So the GCF is the smaller of the two numbers.
Is the GCF of two numbers is equal to the lesser of the numbers?
Summary: The GCF is always less than or equal to the smaller integer. The LCM is always greater than or equal to the larger integer.
Is GCF always greater than LCM?
Since multiples are always greater than or equal to the number, and factors are always less than or equal to, we can say that multiples will always be bigger than factors, and so the LCM is greater than the GCF.
Is the GCF of 2 numbers always less than?
Here the LCM (6) is greater than the number involved ( 2 and 3) Let the numbers be 2 and 4. Then the LCM is 4 as 4 is the lowest number that is divisible by 2 and 4. Here the LCM (4) is at least equivalent to the greater number (4). Hence the LCM of given two numbers can greater than or equal to the numbers but can never be less than the numbers.
Which is the most efficient way to calculate the GCF?
The most efficient method you use depends on how many numbers you have, how large they are and what you will do with the result. To find the GCF by factoring, list out all of the factors of each number or find them with a Factors Calculator. The whole number factors are numbers that divide evenly into the number with zero remainder.
Is the LCM always greater than the GCF?
The LCM is the lowest multiple, yes, but will always be greater than all those factors, because the factors are by definition smaller. The LCM of two numbers is 24, and the GCF is 12. What are the two numbers?
Which is the greatest common factor of a set of numbers?
What is the Greatest Common Factor? The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6. Greatest Common Factor of 0
