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GCD of 958, 496, 351, 735 Calculator

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


Online GCD Calculator is useful to find the GCD of 958, 496, 351, 735 quickly. Get the easiest ways to solve the greatest common divisor of 958, 496, 351, 735 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 958, 496, 351, 735 with Factoring?

Given Input numbers are 958, 496, 351, 735

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

Divisors of 958 :

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

1, 2, 479, 958

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735


GCD of numbers is the greatest common divisor

So, the GCD (958, 496, 351, 735) = 1.

Find GCD of 958, 496, 351, 735 using Prime Factorization

Given numbers are 958, 496, 351, 735

The list of prime factors of all numbers are

Prime factors of 958 are 2 x 479

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 735 are 3 x 5 x 7 x 7

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

Steps to Calculate GCD of 958, 496, 351, 735 using LCM Formula

Given numbers are 958, 496, 351, 735

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

Apply this formula for all numbers.

Step1:

LCM(958, 496) = 237584

GCD(958, 496) = ( 958 x 496 ) / 237584

= 958 / 496

= 958


Step2:

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

= 2 / 351

= 2


Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1


So, Greatest Common Divisor of 958, 496, 351, 735 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 958, 496, 351, 735

Given numbers are 958, 496, 351, 735
The greatest common divisor of numbers 958, 496, 351, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 496, 351, 735 is 1.

FAQs on GCD of 958, 496, 351, 735 Calculator

1. What is the GCD of 958, 496, 351, 735?

GCD of given numbers 958, 496, 351, 735 is 1


2. How to calculate the greatest common divisor of 958, 496, 351, 735?

We can find the highest common divisor of 958, 496, 351, 735 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 958, 496, 351, 735 i.e 1.


3. How can I use the GCD of 958, 496, 351, 735Calculator?

Out the numbers 958, 496, 351, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.