GCD of 782, 130, 560, 253 Calculator

Given Input numbers are 782, 130, 560, 253

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 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 253 :

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

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (782, 130, 560, 253) = 1.

Given numbers are 782, 130, 560, 253

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 130 are 2 x 5 x 13

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 253 are 11 x 23

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

Given numbers are 782, 130, 560, 253

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

Apply this formula for all numbers.

Step1:

LCM(782, 130) = 50830

GCD(782, 130) = ( 782 x 130 ) / 50830

= 782 / 130

= 782

Step2:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

Step3:

LCM(2, 253) = 506

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

= 2 / 253

= 2

So, Greatest Common Divisor of 782, 130, 560, 253 is 1

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Given numbers are 782, 130, 560, 253
The greatest common divisor of numbers 782, 130, 560, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 130, 560, 253 is 1.

1. What is the GCD of 782, 130, 560, 253?

GCD of given numbers 782, 130, 560, 253 is 1

2. How to calculate the greatest common divisor of 782, 130, 560, 253?

We can find the highest common divisor of 782, 130, 560, 253 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, 130, 560, 253 i.e 1.

3. How can I use the GCD of 782, 130, 560, 253Calculator?

Out the numbers 782, 130, 560, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.