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GCD of 825, 820, 147, 967 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, 820, 147, 967 quickly. Get the easiest ways to solve the greatest common divisor of 825, 820, 147, 967 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 820, 147, 967 with Factoring?

Given Input numbers are 825, 820, 147, 967

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967


GCD of numbers is the greatest common divisor

So, the GCD (825, 820, 147, 967) = 1.

Find GCD of 825, 820, 147, 967 using Prime Factorization

Given numbers are 825, 820, 147, 967

The list of prime factors of all numbers are

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

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 147 are 3 x 7 x 7

Prime factors of 967 are 967

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

Steps to Calculate GCD of 825, 820, 147, 967 using LCM Formula

Given numbers are 825, 820, 147, 967

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

Apply this formula for all numbers.

Step1:

LCM(825, 820) = 135300

GCD(825, 820) = ( 825 x 820 ) / 135300

= 825 / 820

= 825


Step2:

LCM(5, 147) = 735

GCD(5, 147) = ( 5 x 147 ) / 735

= 5 / 147

= 5


Step3:

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

= 1 / 967

= 1


So, Greatest Common Divisor of 825, 820, 147, 967 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 820, 147, 967

Given numbers are 825, 820, 147, 967
The greatest common divisor of numbers 825, 820, 147, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 820, 147, 967 is 1.

FAQs on GCD of 825, 820, 147, 967 Calculator

1. What is the GCD of 825, 820, 147, 967?

GCD of given numbers 825, 820, 147, 967 is 1


2. How to calculate the greatest common divisor of 825, 820, 147, 967?

We can find the highest common divisor of 825, 820, 147, 967 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, 820, 147, 967 i.e 1.


3. How can I use the GCD of 825, 820, 147, 967Calculator?

Out the numbers 825, 820, 147, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.