Online GCD Calculator is useful to find the GCD of 156, 972, 676, 177 quickly. Get the easiest ways to solve the greatest common divisor of 156, 972, 676, 177 i.e 1 in different methods as follows.
Given Input numbers are 156, 972, 676, 177
In the factoring method, we have to find the divisors of all numbers
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
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 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
GCD of numbers is the greatest common divisor
So, the GCD (156, 972, 676, 177) = 1.
Given numbers are 156, 972, 676, 177
The list of prime factors of all numbers are
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 177 are 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 156, 972, 676, 177
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(156, 972) = 12636
GCD(156, 972) = ( 156 x 972 ) / 12636
= 156 / 972
= 156
Step2:
LCM(12, 676) = 2028
GCD(12, 676) = ( 12 x 676 ) / 2028
= 12 / 676
= 12
Step3:
LCM(4, 177) = 708
GCD(4, 177) = ( 4 x 177 ) / 708
= 4 / 177
= 4
So, Greatest Common Divisor of 156, 972, 676, 177 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 156, 972, 676, 177
The greatest common divisor of numbers 156, 972, 676, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 972, 676, 177 is 1.
1. What is the GCD of 156, 972, 676, 177?
GCD of given numbers 156, 972, 676, 177 is 1
2. How to calculate the greatest common divisor of 156, 972, 676, 177?
We can find the highest common divisor of 156, 972, 676, 177 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 156, 972, 676, 177 i.e 1.
3. How can I use the GCD of 156, 972, 676, 177Calculator?
Out the numbers 156, 972, 676, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.