Online GCD Calculator is useful to find the GCD of 134, 976, 656, 980 quickly. Get the easiest ways to solve the greatest common divisor of 134, 976, 656, 980 i.e 2 in different methods as follows.
Given Input numbers are 134, 976, 656, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
GCD of numbers is the greatest common divisor
So, the GCD (134, 976, 656, 980) = 2.
Given numbers are 134, 976, 656, 980
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 134, 976, 656, 980 is 2.
Given numbers are 134, 976, 656, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 976) = 65392
GCD(134, 976) = ( 134 x 976 ) / 65392
= 134 / 976
= 134
Step2:
LCM(2, 656) = 656
GCD(2, 656) = ( 2 x 656 ) / 656
= 2 / 656
= 2
Step3:
LCM(2, 980) = 980
GCD(2, 980) = ( 2 x 980 ) / 980
= 2 / 980
= 2
So, Greatest Common Divisor of 134, 976, 656, 980 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 976, 656, 980
The greatest common divisor of numbers 134, 976, 656, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 976, 656, 980 is 2.
1. What is the GCD of 134, 976, 656, 980?
GCD of given numbers 134, 976, 656, 980 is 2
2. How to calculate the greatest common divisor of 134, 976, 656, 980?
We can find the highest common divisor of 134, 976, 656, 980 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 134, 976, 656, 980 i.e 2.
3. How can I use the GCD of 134, 976, 656, 980Calculator?
Out the numbers 134, 976, 656, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.