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GCD of 660, 825, 461, 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 660, 825, 461, 967 quickly. Get the easiest ways to solve the greatest common divisor of 660, 825, 461, 967 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 825, 461, 967 with Factoring?

Given Input numbers are 660, 825, 461, 967

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

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 (660, 825, 461, 967) = 1.

Find GCD of 660, 825, 461, 967 using Prime Factorization

Given numbers are 660, 825, 461, 967

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Prime factors of 461 are 461

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 660, 825, 461, 967 using LCM Formula

Given numbers are 660, 825, 461, 967

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

Apply this formula for all numbers.

Step1:

LCM(660, 825) = 3300

GCD(660, 825) = ( 660 x 825 ) / 3300

= 660 / 825

= 660


Step2:

LCM(165, 461) = 76065

GCD(165, 461) = ( 165 x 461 ) / 76065

= 165 / 461

= 165


Step3:

LCM(1, 967) = 967

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

= 1 / 967

= 1


So, Greatest Common Divisor of 660, 825, 461, 967 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 825, 461, 967

Given numbers are 660, 825, 461, 967
The greatest common divisor of numbers 660, 825, 461, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 825, 461, 967 is 1.

FAQs on GCD of 660, 825, 461, 967 Calculator

1. What is the GCD of 660, 825, 461, 967?

GCD of given numbers 660, 825, 461, 967 is 1


2. How to calculate the greatest common divisor of 660, 825, 461, 967?

We can find the highest common divisor of 660, 825, 461, 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 660, 825, 461, 967 i.e 1.


3. How can I use the GCD of 660, 825, 461, 967Calculator?

Out the numbers 660, 825, 461, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.