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GCD of 520, 560, 745, 567 Calculator

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


Online GCD Calculator is useful to find the GCD of 520, 560, 745, 567 quickly. Get the easiest ways to solve the greatest common divisor of 520, 560, 745, 567 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 520, 560, 745, 567 with Factoring?

Given Input numbers are 520, 560, 745, 567

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

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 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 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567


GCD of numbers is the greatest common divisor

So, the GCD (520, 560, 745, 567) = 1.

Find GCD of 520, 560, 745, 567 using Prime Factorization

Given numbers are 520, 560, 745, 567

The list of prime factors of all numbers are

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

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

Prime factors of 745 are 5 x 149

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 520, 560, 745, 567 using LCM Formula

Given numbers are 520, 560, 745, 567

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

Apply this formula for all numbers.

Step1:

LCM(520, 560) = 7280

GCD(520, 560) = ( 520 x 560 ) / 7280

= 520 / 560

= 520


Step2:

LCM(40, 745) = 5960

GCD(40, 745) = ( 40 x 745 ) / 5960

= 40 / 745

= 40


Step3:

LCM(5, 567) = 2835

GCD(5, 567) = ( 5 x 567 ) / 2835

= 5 / 567

= 5


So, Greatest Common Divisor of 520, 560, 745, 567 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 520, 560, 745, 567

Given numbers are 520, 560, 745, 567
The greatest common divisor of numbers 520, 560, 745, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 560, 745, 567 is 1.

FAQs on GCD of 520, 560, 745, 567 Calculator

1. What is the GCD of 520, 560, 745, 567?

GCD of given numbers 520, 560, 745, 567 is 1


2. How to calculate the greatest common divisor of 520, 560, 745, 567?

We can find the highest common divisor of 520, 560, 745, 567 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 520, 560, 745, 567 i.e 1.


3. How can I use the GCD of 520, 560, 745, 567Calculator?

Out the numbers 520, 560, 745, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.