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GCD of 974, 442, 169, 328 Calculator

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


Online GCD Calculator is useful to find the GCD of 974, 442, 169, 328 quickly. Get the easiest ways to solve the greatest common divisor of 974, 442, 169, 328 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 974, 442, 169, 328 with Factoring?

Given Input numbers are 974, 442, 169, 328

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328


GCD of numbers is the greatest common divisor

So, the GCD (974, 442, 169, 328) = 1.

Find GCD of 974, 442, 169, 328 using Prime Factorization

Given numbers are 974, 442, 169, 328

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 442 are 2 x 13 x 17

Prime factors of 169 are 13 x 13

Prime factors of 328 are 2 x 2 x 2 x 41

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

Steps to Calculate GCD of 974, 442, 169, 328 using LCM Formula

Given numbers are 974, 442, 169, 328

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

Apply this formula for all numbers.

Step1:

LCM(974, 442) = 215254

GCD(974, 442) = ( 974 x 442 ) / 215254

= 974 / 442

= 974


Step2:

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

= 2 / 169

= 2


Step3:

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

= 1 / 328

= 1


So, Greatest Common Divisor of 974, 442, 169, 328 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 974, 442, 169, 328

Given numbers are 974, 442, 169, 328
The greatest common divisor of numbers 974, 442, 169, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 442, 169, 328 is 1.

FAQs on GCD of 974, 442, 169, 328 Calculator

1. What is the GCD of 974, 442, 169, 328?

GCD of given numbers 974, 442, 169, 328 is 1


2. How to calculate the greatest common divisor of 974, 442, 169, 328?

We can find the highest common divisor of 974, 442, 169, 328 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 974, 442, 169, 328 i.e 1.


3. How can I use the GCD of 974, 442, 169, 328Calculator?

Out the numbers 974, 442, 169, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.