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GCD of 506, 376, 969, 560 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 506, 376, 969, 560 quickly. Get the easiest ways to solve the greatest common divisor of 506, 376, 969, 560 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 506, 376, 969, 560 with Factoring?

Given Input numbers are 506, 376, 969, 560

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

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


GCD of numbers is the greatest common divisor

So, the GCD (506, 376, 969, 560) = 1.

Find GCD of 506, 376, 969, 560 using Prime Factorization

Given numbers are 506, 376, 969, 560

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 969 are 3 x 17 x 19

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

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

Steps to Calculate GCD of 506, 376, 969, 560 using LCM Formula

Given numbers are 506, 376, 969, 560

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

Apply this formula for all numbers.

Step1:

LCM(506, 376) = 95128

GCD(506, 376) = ( 506 x 376 ) / 95128

= 506 / 376

= 506


Step2:

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

= 2 / 969

= 2


Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1


So, Greatest Common Divisor of 506, 376, 969, 560 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 506, 376, 969, 560

Given numbers are 506, 376, 969, 560
The greatest common divisor of numbers 506, 376, 969, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 376, 969, 560 is 1.

FAQs on GCD of 506, 376, 969, 560 Calculator

1. What is the GCD of 506, 376, 969, 560?

GCD of given numbers 506, 376, 969, 560 is 1


2. How to calculate the greatest common divisor of 506, 376, 969, 560?

We can find the highest common divisor of 506, 376, 969, 560 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 506, 376, 969, 560 i.e 1.


3. How can I use the GCD of 506, 376, 969, 560Calculator?

Out the numbers 506, 376, 969, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.