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GCD of 917, 700, 342, 704 Calculator

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


Online GCD Calculator is useful to find the GCD of 917, 700, 342, 704 quickly. Get the easiest ways to solve the greatest common divisor of 917, 700, 342, 704 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 917, 700, 342, 704 with Factoring?

Given Input numbers are 917, 700, 342, 704

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

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704


GCD of numbers is the greatest common divisor

So, the GCD (917, 700, 342, 704) = 1.

Find GCD of 917, 700, 342, 704 using Prime Factorization

Given numbers are 917, 700, 342, 704

The list of prime factors of all numbers are

Prime factors of 917 are 7 x 131

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Steps to Calculate GCD of 917, 700, 342, 704 using LCM Formula

Given numbers are 917, 700, 342, 704

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

Apply this formula for all numbers.

Step1:

LCM(917, 700) = 91700

GCD(917, 700) = ( 917 x 700 ) / 91700

= 917 / 700

= 917


Step2:

LCM(7, 342) = 2394

GCD(7, 342) = ( 7 x 342 ) / 2394

= 7 / 342

= 7


Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1


So, Greatest Common Divisor of 917, 700, 342, 704 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 917, 700, 342, 704

Given numbers are 917, 700, 342, 704
The greatest common divisor of numbers 917, 700, 342, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 700, 342, 704 is 1.

FAQs on GCD of 917, 700, 342, 704 Calculator

1. What is the GCD of 917, 700, 342, 704?

GCD of given numbers 917, 700, 342, 704 is 1


2. How to calculate the greatest common divisor of 917, 700, 342, 704?

We can find the highest common divisor of 917, 700, 342, 704 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 917, 700, 342, 704 i.e 1.


3. How can I use the GCD of 917, 700, 342, 704Calculator?

Out the numbers 917, 700, 342, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.