(i) The H.C.F. of two or more numbers cannot be greater than any one of them. For example, the H.C.F. of 16, 18 and 24 is 2 which is less than all the given numbers. (ii) If one number is a factor of the other numbers, their H.C.F. will be that smallest number. For example, 8 is the H.C.F. of 8, 32 and 40.
What is the highest common multiple of two numbers?
The highest common factor (HCF) is found by finding all common factors of two numbers and selecting the largest one. For example, 8 and 12 have common factors of 1, 2 and 4. The highest common factor is 4.
Is it possible to find the greatest common multiple of any two numbers?
Yes. It is possible to find the highest common multiple of two or more numbers.
Is there such a thing as the highest common multiple?
There is no such highest common multiple. Just take their product, take its absolute value (in case it is negative) and go on taking the positive integer multiples of it getting higher and higher common multiples. Or you may go on taking positive powers of the absolute value of their product.
Which is the least common multiple between two numbers?
This process makes the simplification process easier. Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers. LCM denotes the least common factor or multiple of any two or more given integers.
Which is the highest factor of two numbers?
The highest common factor of two numbers is the largest whole number which is a factor of both. This can sometimes also be called the Greatest Common Factor (GCF). Factors are whole numbers we can multiply together to get another number, for example, 4 and 5 are factors of 20 because 4 x 5 = 20.
Which is the least common multiple of 16 and 20?
LCM denotes the least common factor or multiple of any two or more given integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20. Now, if we consider the multiples of 16 and 20, we get; 16 → 16, 32, 48, 64, 80,…
