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GCD of 674, 973, 989, 349 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, 973, 989, 349 quickly. Get the easiest ways to solve the greatest common divisor of 674, 973, 989, 349 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 674, 973, 989, 349 with Factoring?

Given Input numbers are 674, 973, 989, 349

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 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349


GCD of numbers is the greatest common divisor

So, the GCD (674, 973, 989, 349) = 1.

Find GCD of 674, 973, 989, 349 using Prime Factorization

Given numbers are 674, 973, 989, 349

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 973 are 7 x 139

Prime factors of 989 are 23 x 43

Prime factors of 349 are 349

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

Steps to Calculate GCD of 674, 973, 989, 349 using LCM Formula

Given numbers are 674, 973, 989, 349

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

Apply this formula for all numbers.

Step1:

LCM(674, 973) = 655802

GCD(674, 973) = ( 674 x 973 ) / 655802

= 674 / 973

= 674


Step2:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1


Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1


So, Greatest Common Divisor of 674, 973, 989, 349 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 674, 973, 989, 349

Given numbers are 674, 973, 989, 349
The greatest common divisor of numbers 674, 973, 989, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 973, 989, 349 is 1.

FAQs on GCD of 674, 973, 989, 349 Calculator

1. What is the GCD of 674, 973, 989, 349?

GCD of given numbers 674, 973, 989, 349 is 1


2. How to calculate the greatest common divisor of 674, 973, 989, 349?

We can find the highest common divisor of 674, 973, 989, 349 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, 973, 989, 349 i.e 1.


3. How can I use the GCD of 674, 973, 989, 349Calculator?

Out the numbers 674, 973, 989, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.