GCD of 920, 114, 659, 716 Calculator

Given Input numbers are 920, 114, 659, 716

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

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (920, 114, 659, 716) = 1.

Given numbers are 920, 114, 659, 716

The list of prime factors of all numbers are

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

Prime factors of 114 are 2 x 3 x 19

Prime factors of 659 are 659

Prime factors of 716 are 2 x 2 x 179

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

Given numbers are 920, 114, 659, 716

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

Apply this formula for all numbers.

Step1:

LCM(920, 114) = 52440

GCD(920, 114) = ( 920 x 114 ) / 52440

= 920 / 114

= 920

Step2:

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

= 2 / 659

= 2

Step3:

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

= 1 / 716

= 1

So, Greatest Common Divisor of 920, 114, 659, 716 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 323, 736, 897
• GCD of 837, 556, 765, 901
• GCD of 361, 465, 538, 804
• GCD of 451, 693, 871, 688
• GCD of 225, 775, 894, 780

Given numbers are 920, 114, 659, 716
The greatest common divisor of numbers 920, 114, 659, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 114, 659, 716 is 1.

1. What is the GCD of 920, 114, 659, 716?

GCD of given numbers 920, 114, 659, 716 is 1

2. How to calculate the greatest common divisor of 920, 114, 659, 716?

We can find the highest common divisor of 920, 114, 659, 716 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 920, 114, 659, 716 i.e 1.

3. How can I use the GCD of 920, 114, 659, 716Calculator?

Out the numbers 920, 114, 659, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.