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GCD of 970, 414, 313, 996 Calculator

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


Online GCD Calculator is useful to find the GCD of 970, 414, 313, 996 quickly. Get the easiest ways to solve the greatest common divisor of 970, 414, 313, 996 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 970, 414, 313, 996 with Factoring?

Given Input numbers are 970, 414, 313, 996

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

Divisors of 970 :

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

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

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


GCD of numbers is the greatest common divisor

So, the GCD (970, 414, 313, 996) = 1.

Find GCD of 970, 414, 313, 996 using Prime Factorization

Given numbers are 970, 414, 313, 996

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 313 are 313

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

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

Steps to Calculate GCD of 970, 414, 313, 996 using LCM Formula

Given numbers are 970, 414, 313, 996

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

Apply this formula for all numbers.

Step1:

LCM(970, 414) = 200790

GCD(970, 414) = ( 970 x 414 ) / 200790

= 970 / 414

= 970


Step2:

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

= 2 / 313

= 2


Step3:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1


So, Greatest Common Divisor of 970, 414, 313, 996 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 970, 414, 313, 996

Given numbers are 970, 414, 313, 996
The greatest common divisor of numbers 970, 414, 313, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 414, 313, 996 is 1.

FAQs on GCD of 970, 414, 313, 996 Calculator

1. What is the GCD of 970, 414, 313, 996?

GCD of given numbers 970, 414, 313, 996 is 1


2. How to calculate the greatest common divisor of 970, 414, 313, 996?

We can find the highest common divisor of 970, 414, 313, 996 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 970, 414, 313, 996 i.e 1.


3. How can I use the GCD of 970, 414, 313, 996Calculator?

Out the numbers 970, 414, 313, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.