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GCD of 530, 880, 972, 825 Calculator

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


Online GCD Calculator is useful to find the GCD of 530, 880, 972, 825 quickly. Get the easiest ways to solve the greatest common divisor of 530, 880, 972, 825 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 530, 880, 972, 825 with Factoring?

Given Input numbers are 530, 880, 972, 825

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

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825


GCD of numbers is the greatest common divisor

So, the GCD (530, 880, 972, 825) = 1.

Find GCD of 530, 880, 972, 825 using Prime Factorization

Given numbers are 530, 880, 972, 825

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 825 are 3 x 5 x 5 x 11

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

Steps to Calculate GCD of 530, 880, 972, 825 using LCM Formula

Given numbers are 530, 880, 972, 825

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

Apply this formula for all numbers.

Step1:

LCM(530, 880) = 46640

GCD(530, 880) = ( 530 x 880 ) / 46640

= 530 / 880

= 530


Step2:

LCM(10, 972) = 4860

GCD(10, 972) = ( 10 x 972 ) / 4860

= 10 / 972

= 10


Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2


So, Greatest Common Divisor of 530, 880, 972, 825 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 530, 880, 972, 825

Given numbers are 530, 880, 972, 825
The greatest common divisor of numbers 530, 880, 972, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 880, 972, 825 is 1.

FAQs on GCD of 530, 880, 972, 825 Calculator

1. What is the GCD of 530, 880, 972, 825?

GCD of given numbers 530, 880, 972, 825 is 1


2. How to calculate the greatest common divisor of 530, 880, 972, 825?

We can find the highest common divisor of 530, 880, 972, 825 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 530, 880, 972, 825 i.e 1.


3. How can I use the GCD of 530, 880, 972, 825Calculator?

Out the numbers 530, 880, 972, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.