Online GCD Calculator is useful to find the GCD of 654, 651, 972 quickly. Get the easiest ways to solve the greatest common divisor of 654, 651, 972 i.e 3 in different methods as follows.
Given Input numbers are 654, 651, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
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
GCD of numbers is the greatest common divisor
So, the GCD (654, 651, 972) = 3.
Given numbers are 654, 651, 972
The list of prime factors of all numbers are
Prime factors of 654 are 2 x 3 x 109
Prime factors of 651 are 3 x 7 x 31
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 654, 651, 972 is 3.
Given numbers are 654, 651, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(654, 651) = 141918
GCD(654, 651) = ( 654 x 651 ) / 141918
= 654 / 651
= 654
Step2:
LCM(3, 972) = 972
GCD(3, 972) = ( 3 x 972 ) / 972
= 3 / 972
= 3
So, Greatest Common Divisor of 654, 651, 972 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 654, 651, 972
The greatest common divisor of numbers 654, 651, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 651, 972 is 3.
1. What is the GCD of 654, 651, 972?
GCD of given numbers 654, 651, 972 is 3
2. How to calculate the greatest common divisor of 654, 651, 972?
We can find the highest common divisor of 654, 651, 972 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 654, 651, 972 i.e 3.
3. How can I use the GCD of 654, 651, 972Calculator?
Out the numbers 654, 651, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.