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GCD of 704, 958, 970, 922 Calculator

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


Online GCD Calculator is useful to find the GCD of 704, 958, 970, 922 quickly. Get the easiest ways to solve the greatest common divisor of 704, 958, 970, 922 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 958, 970, 922 with Factoring?

Given Input numbers are 704, 958, 970, 922

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

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

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922


GCD of numbers is the greatest common divisor

So, the GCD (704, 958, 970, 922) = 2.

Find GCD of 704, 958, 970, 922 using Prime Factorization

Given numbers are 704, 958, 970, 922

The list of prime factors of all numbers are

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

Prime factors of 958 are 2 x 479

Prime factors of 970 are 2 x 5 x 97

Prime factors of 922 are 2 x 461

The highest common occurrence is 21

Therefore, GCD of 704, 958, 970, 922 is 2.

Steps to Calculate GCD of 704, 958, 970, 922 using LCM Formula

Given numbers are 704, 958, 970, 922

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

Apply this formula for all numbers.

Step1:

LCM(704, 958) = 337216

GCD(704, 958) = ( 704 x 958 ) / 337216

= 704 / 958

= 704


Step2:

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

= 2 / 970

= 2


Step3:

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

= 2 / 922

= 2


So, Greatest Common Divisor of 704, 958, 970, 922 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 958, 970, 922

Given numbers are 704, 958, 970, 922
The greatest common divisor of numbers 704, 958, 970, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 958, 970, 922 is 2.

FAQs on GCD of 704, 958, 970, 922 Calculator

1. What is the GCD of 704, 958, 970, 922?

GCD of given numbers 704, 958, 970, 922 is 2


2. How to calculate the greatest common divisor of 704, 958, 970, 922?

We can find the highest common divisor of 704, 958, 970, 922 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 704, 958, 970, 922 i.e 2.


3. How can I use the GCD of 704, 958, 970, 922Calculator?

Out the numbers 704, 958, 970, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.