Online GCD Calculator is useful to find the GCD of 977, 156, 414, 660 quickly. Get the easiest ways to solve the greatest common divisor of 977, 156, 414, 660 i.e 1 in different methods as follows.
Given Input numbers are 977, 156, 414, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
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 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (977, 156, 414, 660) = 1.
Given numbers are 977, 156, 414, 660
The list of prime factors of all numbers are
Prime factors of 977 are 977
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 977, 156, 414, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(977, 156) = 152412
GCD(977, 156) = ( 977 x 156 ) / 152412
= 977 / 156
= 977
Step2:
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
= 1 / 414
= 1
Step3:
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
= 1 / 660
= 1
So, Greatest Common Divisor of 977, 156, 414, 660 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 977, 156, 414, 660
The greatest common divisor of numbers 977, 156, 414, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 156, 414, 660 is 1.
1. What is the GCD of 977, 156, 414, 660?
GCD of given numbers 977, 156, 414, 660 is 1
2. How to calculate the greatest common divisor of 977, 156, 414, 660?
We can find the highest common divisor of 977, 156, 414, 660 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 977, 156, 414, 660 i.e 1.
3. How can I use the GCD of 977, 156, 414, 660Calculator?
Out the numbers 977, 156, 414, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.