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GCD of 674, 996, 537, 574 Calculator

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


Online GCD Calculator is useful to find the GCD of 674, 996, 537, 574 quickly. Get the easiest ways to solve the greatest common divisor of 674, 996, 537, 574 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 674, 996, 537, 574 with Factoring?

Given Input numbers are 674, 996, 537, 574

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

Divisors of 674 :

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

1, 2, 337, 674

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574


GCD of numbers is the greatest common divisor

So, the GCD (674, 996, 537, 574) = 1.

Find GCD of 674, 996, 537, 574 using Prime Factorization

Given numbers are 674, 996, 537, 574

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 537 are 3 x 179

Prime factors of 574 are 2 x 7 x 41

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

Steps to Calculate GCD of 674, 996, 537, 574 using LCM Formula

Given numbers are 674, 996, 537, 574

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

Apply this formula for all numbers.

Step1:

LCM(674, 996) = 335652

GCD(674, 996) = ( 674 x 996 ) / 335652

= 674 / 996

= 674


Step2:

LCM(2, 537) = 1074

GCD(2, 537) = ( 2 x 537 ) / 1074

= 2 / 537

= 2


Step3:

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

= 1 / 574

= 1


So, Greatest Common Divisor of 674, 996, 537, 574 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 674, 996, 537, 574

Given numbers are 674, 996, 537, 574
The greatest common divisor of numbers 674, 996, 537, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 996, 537, 574 is 1.

FAQs on GCD of 674, 996, 537, 574 Calculator

1. What is the GCD of 674, 996, 537, 574?

GCD of given numbers 674, 996, 537, 574 is 1


2. How to calculate the greatest common divisor of 674, 996, 537, 574?

We can find the highest common divisor of 674, 996, 537, 574 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 674, 996, 537, 574 i.e 1.


3. How can I use the GCD of 674, 996, 537, 574Calculator?

Out the numbers 674, 996, 537, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.