GCD of 264, 972, 987 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 264, 972, 987 quickly. Get the easiest ways to solve the greatest common divisor of 264, 972, 987 i.e 3 in different methods as follows.
Given Input numbers are 264, 972, 987
In the factoring method, we have to find the divisors of all numbers
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (264, 972, 987) = 3.
Given numbers are 264, 972, 987
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 987 are 3 x 7 x 47
The highest common occurrence is 31
Therefore, GCD of 264, 972, 987 is 3.
Steps to Calculate GCD of 264, 972, 987 using LCM Formula
Given numbers are 264, 972, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(264, 972) = 21384
GCD(264, 972) = ( 264 x 972 ) / 21384
= 264 / 972
= 264
Step2:
LCM(12, 987) = 3948
GCD(12, 987) = ( 12 x 987 ) / 3948
= 12 / 987
= 12
So, Greatest Common Divisor of 264, 972, 987 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 264, 972, 987
Given numbers are 264, 972, 987
The greatest common divisor of numbers 264, 972, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 972, 987 is 3.
FAQs on GCD of 264, 972, 987 Calculator
1. What is the GCD of 264, 972, 987?
GCD of given numbers 264, 972, 987 is 3
2. How to calculate the greatest common divisor of 264, 972, 987?
We can find the highest common divisor of 264, 972, 987 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 264, 972, 987 i.e 3.
3. How can I use the GCD of 264, 972, 987Calculator?
Out the numbers 264, 972, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.