Online GCD Calculator is useful to find the GCD of 972, 627, 272, 149 quickly. Get the easiest ways to solve the greatest common divisor of 972, 627, 272, 149 i.e 1 in different methods as follows.
Given Input numbers are 972, 627, 272, 149
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 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
GCD of numbers is the greatest common divisor
So, the GCD (972, 627, 272, 149) = 1.
Given numbers are 972, 627, 272, 149
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 627 are 3 x 11 x 19
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 627, 272, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 627) = 203148
GCD(972, 627) = ( 972 x 627 ) / 203148
= 972 / 627
= 972
Step2:
LCM(3, 272) = 816
GCD(3, 272) = ( 3 x 272 ) / 816
= 3 / 272
= 3
Step3:
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
= 1 / 149
= 1
So, Greatest Common Divisor of 972, 627, 272, 149 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 627, 272, 149
The greatest common divisor of numbers 972, 627, 272, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 627, 272, 149 is 1.
1. What is the GCD of 972, 627, 272, 149?
GCD of given numbers 972, 627, 272, 149 is 1
2. How to calculate the greatest common divisor of 972, 627, 272, 149?
We can find the highest common divisor of 972, 627, 272, 149 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, 627, 272, 149 i.e 1.
3. How can I use the GCD of 972, 627, 272, 149Calculator?
Out the numbers 972, 627, 272, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.