GCD of 782, 520, 253, 920 Calculator

Given Input numbers are 782, 520, 253, 920

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

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 (782, 520, 253, 920) = 1.

Given numbers are 782, 520, 253, 920

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 253 are 11 x 23

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 782, 520, 253, 920

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

Apply this formula for all numbers.

Step1:

LCM(782, 520) = 203320

GCD(782, 520) = ( 782 x 520 ) / 203320

= 782 / 520

= 782

Step2:

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

= 2 / 253

= 2

Step3:

LCM(1, 920) = 920

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

= 1 / 920

= 1

So, Greatest Common Divisor of 782, 520, 253, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 128, 374, 977
• GCD of 671, 420, 382, 231
• GCD of 870, 379, 610, 937
• GCD of 881, 262, 289, 730
• GCD of 813, 629, 454, 188

Given numbers are 782, 520, 253, 920
The greatest common divisor of numbers 782, 520, 253, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 520, 253, 920 is 1.

1. What is the GCD of 782, 520, 253, 920?

GCD of given numbers 782, 520, 253, 920 is 1

2. How to calculate the greatest common divisor of 782, 520, 253, 920?

We can find the highest common divisor of 782, 520, 253, 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 782, 520, 253, 920 i.e 1.

3. How can I use the GCD of 782, 520, 253, 920Calculator?

Out the numbers 782, 520, 253, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.