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GCD of 825, 316, 947, 580 Calculator

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


Online GCD Calculator is useful to find the GCD of 825, 316, 947, 580 quickly. Get the easiest ways to solve the greatest common divisor of 825, 316, 947, 580 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 316, 947, 580 with Factoring?

Given Input numbers are 825, 316, 947, 580

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

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580


GCD of numbers is the greatest common divisor

So, the GCD (825, 316, 947, 580) = 1.

Find GCD of 825, 316, 947, 580 using Prime Factorization

Given numbers are 825, 316, 947, 580

The list of prime factors of all numbers are

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

Prime factors of 316 are 2 x 2 x 79

Prime factors of 947 are 947

Prime factors of 580 are 2 x 2 x 5 x 29

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

Steps to Calculate GCD of 825, 316, 947, 580 using LCM Formula

Given numbers are 825, 316, 947, 580

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

Apply this formula for all numbers.

Step1:

LCM(825, 316) = 260700

GCD(825, 316) = ( 825 x 316 ) / 260700

= 825 / 316

= 825


Step2:

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

= 1 / 947

= 1


Step3:

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

= 1 / 580

= 1


So, Greatest Common Divisor of 825, 316, 947, 580 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 316, 947, 580

Given numbers are 825, 316, 947, 580
The greatest common divisor of numbers 825, 316, 947, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 316, 947, 580 is 1.

FAQs on GCD of 825, 316, 947, 580 Calculator

1. What is the GCD of 825, 316, 947, 580?

GCD of given numbers 825, 316, 947, 580 is 1


2. How to calculate the greatest common divisor of 825, 316, 947, 580?

We can find the highest common divisor of 825, 316, 947, 580 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 825, 316, 947, 580 i.e 1.


3. How can I use the GCD of 825, 316, 947, 580Calculator?

Out the numbers 825, 316, 947, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.