Online GCD Calculator is useful to find the GCD of 676, 320, 356, 134 quickly. Get the easiest ways to solve the greatest common divisor of 676, 320, 356, 134 i.e 2 in different methods as follows.
Given Input numbers are 676, 320, 356, 134
In the factoring method, we have to find the divisors of all numbers
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 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
GCD of numbers is the greatest common divisor
So, the GCD (676, 320, 356, 134) = 2.
Given numbers are 676, 320, 356, 134
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 356 are 2 x 2 x 89
Prime factors of 134 are 2 x 67
The highest common occurrence is 21
Therefore, GCD of 676, 320, 356, 134 is 2.
Given numbers are 676, 320, 356, 134
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 320) = 54080
GCD(676, 320) = ( 676 x 320 ) / 54080
= 676 / 320
= 676
Step2:
LCM(4, 356) = 356
GCD(4, 356) = ( 4 x 356 ) / 356
= 4 / 356
= 4
Step3:
LCM(4, 134) = 268
GCD(4, 134) = ( 4 x 134 ) / 268
= 4 / 134
= 4
So, Greatest Common Divisor of 676, 320, 356, 134 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 320, 356, 134
The greatest common divisor of numbers 676, 320, 356, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 320, 356, 134 is 2.
1. What is the GCD of 676, 320, 356, 134?
GCD of given numbers 676, 320, 356, 134 is 2
2. How to calculate the greatest common divisor of 676, 320, 356, 134?
We can find the highest common divisor of 676, 320, 356, 134 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 676, 320, 356, 134 i.e 2.
3. How can I use the GCD of 676, 320, 356, 134Calculator?
Out the numbers 676, 320, 356, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.