Online GCD Calculator is useful to find the GCD of 972, 608, 147, 872 quickly. Get the easiest ways to solve the greatest common divisor of 972, 608, 147, 872 i.e 1 in different methods as follows.
Given Input numbers are 972, 608, 147, 872
In the factoring method, we have to find the divisors of all numbers
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 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (972, 608, 147, 872) = 1.
Given numbers are 972, 608, 147, 872
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 147 are 3 x 7 x 7
Prime factors of 872 are 2 x 2 x 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 608, 147, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 608) = 147744
GCD(972, 608) = ( 972 x 608 ) / 147744
= 972 / 608
= 972
Step2:
LCM(4, 147) = 588
GCD(4, 147) = ( 4 x 147 ) / 588
= 4 / 147
= 4
Step3:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
So, Greatest Common Divisor of 972, 608, 147, 872 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 608, 147, 872
The greatest common divisor of numbers 972, 608, 147, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 608, 147, 872 is 1.
1. What is the GCD of 972, 608, 147, 872?
GCD of given numbers 972, 608, 147, 872 is 1
2. How to calculate the greatest common divisor of 972, 608, 147, 872?
We can find the highest common divisor of 972, 608, 147, 872 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 972, 608, 147, 872 i.e 1.
3. How can I use the GCD of 972, 608, 147, 872Calculator?
Out the numbers 972, 608, 147, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.