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GCD of 975, 466, 898, 132 Calculator

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


Online GCD Calculator is useful to find the GCD of 975, 466, 898, 132 quickly. Get the easiest ways to solve the greatest common divisor of 975, 466, 898, 132 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 466, 898, 132 with Factoring?

Given Input numbers are 975, 466, 898, 132

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132


GCD of numbers is the greatest common divisor

So, the GCD (975, 466, 898, 132) = 1.

Find GCD of 975, 466, 898, 132 using Prime Factorization

Given numbers are 975, 466, 898, 132

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 466 are 2 x 233

Prime factors of 898 are 2 x 449

Prime factors of 132 are 2 x 2 x 3 x 11

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

Steps to Calculate GCD of 975, 466, 898, 132 using LCM Formula

Given numbers are 975, 466, 898, 132

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

Apply this formula for all numbers.

Step1:

LCM(975, 466) = 454350

GCD(975, 466) = ( 975 x 466 ) / 454350

= 975 / 466

= 975


Step2:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1


Step3:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1


So, Greatest Common Divisor of 975, 466, 898, 132 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 466, 898, 132

Given numbers are 975, 466, 898, 132
The greatest common divisor of numbers 975, 466, 898, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 466, 898, 132 is 1.

FAQs on GCD of 975, 466, 898, 132 Calculator

1. What is the GCD of 975, 466, 898, 132?

GCD of given numbers 975, 466, 898, 132 is 1


2. How to calculate the greatest common divisor of 975, 466, 898, 132?

We can find the highest common divisor of 975, 466, 898, 132 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 975, 466, 898, 132 i.e 1.


3. How can I use the GCD of 975, 466, 898, 132Calculator?

Out the numbers 975, 466, 898, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.