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GCD of 974, 703, 394, 698 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, 703, 394, 698 quickly. Get the easiest ways to solve the greatest common divisor of 974, 703, 394, 698 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 974, 703, 394, 698 with Factoring?

Given Input numbers are 974, 703, 394, 698

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 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698


GCD of numbers is the greatest common divisor

So, the GCD (974, 703, 394, 698) = 1.

Find GCD of 974, 703, 394, 698 using Prime Factorization

Given numbers are 974, 703, 394, 698

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 703 are 19 x 37

Prime factors of 394 are 2 x 197

Prime factors of 698 are 2 x 349

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

Steps to Calculate GCD of 974, 703, 394, 698 using LCM Formula

Given numbers are 974, 703, 394, 698

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

Apply this formula for all numbers.

Step1:

LCM(974, 703) = 684722

GCD(974, 703) = ( 974 x 703 ) / 684722

= 974 / 703

= 974


Step2:

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

= 1 / 394

= 1


Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1


So, Greatest Common Divisor of 974, 703, 394, 698 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 974, 703, 394, 698

Given numbers are 974, 703, 394, 698
The greatest common divisor of numbers 974, 703, 394, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 703, 394, 698 is 1.

FAQs on GCD of 974, 703, 394, 698 Calculator

1. What is the GCD of 974, 703, 394, 698?

GCD of given numbers 974, 703, 394, 698 is 1


2. How to calculate the greatest common divisor of 974, 703, 394, 698?

We can find the highest common divisor of 974, 703, 394, 698 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, 703, 394, 698 i.e 1.


3. How can I use the GCD of 974, 703, 394, 698Calculator?

Out the numbers 974, 703, 394, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.