GCD of 713, 920, 785, 344 Calculator

Given Input numbers are 713, 920, 785, 344

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

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

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 (713, 920, 785, 344) = 1.

Given numbers are 713, 920, 785, 344

The list of prime factors of all numbers are

Prime factors of 713 are 23 x 31

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 785 are 5 x 157

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 713, 920, 785, 344

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

Apply this formula for all numbers.

Step1:

LCM(713, 920) = 28520

GCD(713, 920) = ( 713 x 920 ) / 28520

= 713 / 920

= 713

Step2:

LCM(23, 785) = 18055

GCD(23, 785) = ( 23 x 785 ) / 18055

= 23 / 785

= 23

Step3:

LCM(1, 344) = 344

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

= 1 / 344

= 1

So, Greatest Common Divisor of 713, 920, 785, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 566, 924, 872
• GCD of 922, 749, 439, 490
• GCD of 502, 606, 223, 644
• GCD of 990, 229, 165, 952
• GCD of 405, 558, 966, 720

Given numbers are 713, 920, 785, 344
The greatest common divisor of numbers 713, 920, 785, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 713, 920, 785, 344 is 1.

1. What is the GCD of 713, 920, 785, 344?

GCD of given numbers 713, 920, 785, 344 is 1

2. How to calculate the greatest common divisor of 713, 920, 785, 344?

We can find the highest common divisor of 713, 920, 785, 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 713, 920, 785, 344 i.e 1.

3. How can I use the GCD of 713, 920, 785, 344Calculator?

Out the numbers 713, 920, 785, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.