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GCD of 560, 280, 829, 252 Calculator

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


Online GCD Calculator is useful to find the GCD of 560, 280, 829, 252 quickly. Get the easiest ways to solve the greatest common divisor of 560, 280, 829, 252 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 560, 280, 829, 252 with Factoring?

Given Input numbers are 560, 280, 829, 252

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

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252


GCD of numbers is the greatest common divisor

So, the GCD (560, 280, 829, 252) = 1.

Find GCD of 560, 280, 829, 252 using Prime Factorization

Given numbers are 560, 280, 829, 252

The list of prime factors of all numbers are

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 829 are 829

Prime factors of 252 are 2 x 2 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 560, 280, 829, 252 using LCM Formula

Given numbers are 560, 280, 829, 252

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

Apply this formula for all numbers.

Step1:

LCM(560, 280) = 560

GCD(560, 280) = ( 560 x 280 ) / 560

= 560 / 280

= 560


Step2:

LCM(280, 829) = 232120

GCD(280, 829) = ( 280 x 829 ) / 232120

= 280 / 829

= 280


Step3:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1


So, Greatest Common Divisor of 560, 280, 829, 252 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 560, 280, 829, 252

Given numbers are 560, 280, 829, 252
The greatest common divisor of numbers 560, 280, 829, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 280, 829, 252 is 1.

FAQs on GCD of 560, 280, 829, 252 Calculator

1. What is the GCD of 560, 280, 829, 252?

GCD of given numbers 560, 280, 829, 252 is 1


2. How to calculate the greatest common divisor of 560, 280, 829, 252?

We can find the highest common divisor of 560, 280, 829, 252 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 560, 280, 829, 252 i.e 1.


3. How can I use the GCD of 560, 280, 829, 252Calculator?

Out the numbers 560, 280, 829, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.