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GCD of 984, 492, 315, 674 Calculator

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


Online GCD Calculator is useful to find the GCD of 984, 492, 315, 674 quickly. Get the easiest ways to solve the greatest common divisor of 984, 492, 315, 674 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 984, 492, 315, 674 with Factoring?

Given Input numbers are 984, 492, 315, 674

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674


GCD of numbers is the greatest common divisor

So, the GCD (984, 492, 315, 674) = 1.

Find GCD of 984, 492, 315, 674 using Prime Factorization

Given numbers are 984, 492, 315, 674

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 674 are 2 x 337

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

Steps to Calculate GCD of 984, 492, 315, 674 using LCM Formula

Given numbers are 984, 492, 315, 674

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

Apply this formula for all numbers.

Step1:

LCM(984, 492) = 984

GCD(984, 492) = ( 984 x 492 ) / 984

= 984 / 492

= 984


Step2:

LCM(492, 315) = 51660

GCD(492, 315) = ( 492 x 315 ) / 51660

= 492 / 315

= 492


Step3:

LCM(3, 674) = 2022

GCD(3, 674) = ( 3 x 674 ) / 2022

= 3 / 674

= 3


So, Greatest Common Divisor of 984, 492, 315, 674 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 984, 492, 315, 674

Given numbers are 984, 492, 315, 674
The greatest common divisor of numbers 984, 492, 315, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 492, 315, 674 is 1.

FAQs on GCD of 984, 492, 315, 674 Calculator

1. What is the GCD of 984, 492, 315, 674?

GCD of given numbers 984, 492, 315, 674 is 1


2. How to calculate the greatest common divisor of 984, 492, 315, 674?

We can find the highest common divisor of 984, 492, 315, 674 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 984, 492, 315, 674 i.e 1.


3. How can I use the GCD of 984, 492, 315, 674Calculator?

Out the numbers 984, 492, 315, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.