GCD of 313, 137, 460, 676 Calculator

Given Input numbers are 313, 137, 460, 676

In the factoring method, we have to find the divisors of all numbers

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (313, 137, 460, 676) = 1.

Given numbers are 313, 137, 460, 676

The list of prime factors of all numbers are

Prime factors of 313 are 313

Prime factors of 137 are 137

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 676 are 2 x 2 x 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 313, 137, 460, 676

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(313, 137) = 42881

GCD(313, 137) = ( 313 x 137 ) / 42881

= 313 / 137

= 313

Step2:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

So, Greatest Common Divisor of 313, 137, 460, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 774, 629, 889
• GCD of 612, 494, 724, 449
• GCD of 435, 201, 693, 554
• GCD of 251, 168, 656, 863
• GCD of 722, 594, 704, 694

Given numbers are 313, 137, 460, 676
The greatest common divisor of numbers 313, 137, 460, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 137, 460, 676 is 1.

1. What is the GCD of 313, 137, 460, 676?

GCD of given numbers 313, 137, 460, 676 is 1

2. How to calculate the greatest common divisor of 313, 137, 460, 676?

We can find the highest common divisor of 313, 137, 460, 676 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 313, 137, 460, 676 i.e 1.

3. How can I use the GCD of 313, 137, 460, 676Calculator?

Out the numbers 313, 137, 460, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.