GCD of 565, 935, 688, 920 Calculator

Given Input numbers are 565, 935, 688, 920

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

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 935 :

The positive integer divisors of 935 that completely divides 935 are.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

GCD of numbers is the greatest common divisor

So, the GCD (565, 935, 688, 920) = 1.

Given numbers are 565, 935, 688, 920

The list of prime factors of all numbers are

Prime factors of 565 are 5 x 113

Prime factors of 935 are 5 x 11 x 17

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

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

Given numbers are 565, 935, 688, 920

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

Apply this formula for all numbers.

Step1:

LCM(565, 935) = 105655

GCD(565, 935) = ( 565 x 935 ) / 105655

= 565 / 935

= 565

Step2:

LCM(5, 688) = 3440

GCD(5, 688) = ( 5 x 688 ) / 3440

= 5 / 688

= 5

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 565, 935, 688, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 550, 620, 560
• GCD of 707, 794, 304, 609
• GCD of 322, 363, 518, 332
• GCD of 692, 570, 895, 654
• GCD of 913, 204, 892, 486

Given numbers are 565, 935, 688, 920
The greatest common divisor of numbers 565, 935, 688, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 565, 935, 688, 920 is 1.

1. What is the GCD of 565, 935, 688, 920?

GCD of given numbers 565, 935, 688, 920 is 1

2. How to calculate the greatest common divisor of 565, 935, 688, 920?

We can find the highest common divisor of 565, 935, 688, 920 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 565, 935, 688, 920 i.e 1.

3. How can I use the GCD of 565, 935, 688, 920Calculator?

Out the numbers 565, 935, 688, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.