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GCD of 975, 455, 119, 489 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, 455, 119, 489 quickly. Get the easiest ways to solve the greatest common divisor of 975, 455, 119, 489 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 455, 119, 489 with Factoring?

Given Input numbers are 975, 455, 119, 489

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 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489


GCD of numbers is the greatest common divisor

So, the GCD (975, 455, 119, 489) = 1.

Find GCD of 975, 455, 119, 489 using Prime Factorization

Given numbers are 975, 455, 119, 489

The list of prime factors of all numbers are

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

Prime factors of 455 are 5 x 7 x 13

Prime factors of 119 are 7 x 17

Prime factors of 489 are 3 x 163

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

Steps to Calculate GCD of 975, 455, 119, 489 using LCM Formula

Given numbers are 975, 455, 119, 489

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

Apply this formula for all numbers.

Step1:

LCM(975, 455) = 6825

GCD(975, 455) = ( 975 x 455 ) / 6825

= 975 / 455

= 975


Step2:

LCM(65, 119) = 7735

GCD(65, 119) = ( 65 x 119 ) / 7735

= 65 / 119

= 65


Step3:

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

= 1 / 489

= 1


So, Greatest Common Divisor of 975, 455, 119, 489 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 455, 119, 489

Given numbers are 975, 455, 119, 489
The greatest common divisor of numbers 975, 455, 119, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 455, 119, 489 is 1.

FAQs on GCD of 975, 455, 119, 489 Calculator

1. What is the GCD of 975, 455, 119, 489?

GCD of given numbers 975, 455, 119, 489 is 1


2. How to calculate the greatest common divisor of 975, 455, 119, 489?

We can find the highest common divisor of 975, 455, 119, 489 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, 455, 119, 489 i.e 1.


3. How can I use the GCD of 975, 455, 119, 489Calculator?

Out the numbers 975, 455, 119, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.