GCD of 676, 351, 138, 344 Calculator

Given Input numbers are 676, 351, 138, 344

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (676, 351, 138, 344) = 1.

Given numbers are 676, 351, 138, 344

The list of prime factors of all numbers are

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

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 138 are 2 x 3 x 23

Prime factors of 344 are 2 x 2 x 2 x 43

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

Given numbers are 676, 351, 138, 344

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

Apply this formula for all numbers.

Step1:

LCM(676, 351) = 18252

GCD(676, 351) = ( 676 x 351 ) / 18252

= 676 / 351

= 676

Step2:

LCM(13, 138) = 1794

GCD(13, 138) = ( 13 x 138 ) / 1794

= 13 / 138

= 13

Step3:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1

So, Greatest Common Divisor of 676, 351, 138, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 839, 985, 581
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• GCD of 889, 257, 345, 886
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Given numbers are 676, 351, 138, 344
The greatest common divisor of numbers 676, 351, 138, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 351, 138, 344 is 1.

1. What is the GCD of 676, 351, 138, 344?

GCD of given numbers 676, 351, 138, 344 is 1

2. How to calculate the greatest common divisor of 676, 351, 138, 344?

We can find the highest common divisor of 676, 351, 138, 344 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, 351, 138, 344 i.e 1.

3. How can I use the GCD of 676, 351, 138, 344Calculator?

Out the numbers 676, 351, 138, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.