GCD of 107, 642, 696, 344 Calculator

Given Input numbers are 107, 642, 696, 344

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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 (107, 642, 696, 344) = 1.

Given numbers are 107, 642, 696, 344

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 642 are 2 x 3 x 107

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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 107, 642, 696, 344

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

Apply this formula for all numbers.

Step1:

LCM(107, 642) = 642

GCD(107, 642) = ( 107 x 642 ) / 642

= 107 / 642

= 107

Step2:

LCM(107, 696) = 74472

GCD(107, 696) = ( 107 x 696 ) / 74472

= 107 / 696

= 107

Step3:

LCM(1, 344) = 344

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

= 1 / 344

= 1

So, Greatest Common Divisor of 107, 642, 696, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 179, 126, 543
• GCD of 497, 228, 502, 882
• GCD of 677, 673, 291, 820
• GCD of 666, 462, 540, 584
• GCD of 116, 577, 405, 106

Given numbers are 107, 642, 696, 344
The greatest common divisor of numbers 107, 642, 696, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 642, 696, 344 is 1.

1. What is the GCD of 107, 642, 696, 344?

GCD of given numbers 107, 642, 696, 344 is 1

2. How to calculate the greatest common divisor of 107, 642, 696, 344?

We can find the highest common divisor of 107, 642, 696, 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 107, 642, 696, 344 i.e 1.

3. How can I use the GCD of 107, 642, 696, 344Calculator?

Out the numbers 107, 642, 696, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.