Online GCD Calculator is useful to find the GCD of 624, 921, 657, 132 quickly. Get the easiest ways to solve the greatest common divisor of 624, 921, 657, 132 i.e 3 in different methods as follows.
Given Input numbers are 624, 921, 657, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (624, 921, 657, 132) = 3.
Given numbers are 624, 921, 657, 132
The list of prime factors of all numbers are
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 921 are 3 x 307
Prime factors of 657 are 3 x 3 x 73
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 624, 921, 657, 132 is 3.
Given numbers are 624, 921, 657, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(624, 921) = 191568
GCD(624, 921) = ( 624 x 921 ) / 191568
= 624 / 921
= 624
Step2:
LCM(3, 657) = 657
GCD(3, 657) = ( 3 x 657 ) / 657
= 3 / 657
= 3
Step3:
LCM(3, 132) = 132
GCD(3, 132) = ( 3 x 132 ) / 132
= 3 / 132
= 3
So, Greatest Common Divisor of 624, 921, 657, 132 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 624, 921, 657, 132
The greatest common divisor of numbers 624, 921, 657, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 921, 657, 132 is 3.
1. What is the GCD of 624, 921, 657, 132?
GCD of given numbers 624, 921, 657, 132 is 3
2. How to calculate the greatest common divisor of 624, 921, 657, 132?
We can find the highest common divisor of 624, 921, 657, 132 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 624, 921, 657, 132 i.e 3.
3. How can I use the GCD of 624, 921, 657, 132Calculator?
Out the numbers 624, 921, 657, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.