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GCD of 358, 768, 749, 290 Calculator

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


Online GCD Calculator is useful to find the GCD of 358, 768, 749, 290 quickly. Get the easiest ways to solve the greatest common divisor of 358, 768, 749, 290 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 358, 768, 749, 290 with Factoring?

Given Input numbers are 358, 768, 749, 290

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290


GCD of numbers is the greatest common divisor

So, the GCD (358, 768, 749, 290) = 1.

Find GCD of 358, 768, 749, 290 using Prime Factorization

Given numbers are 358, 768, 749, 290

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 749 are 7 x 107

Prime factors of 290 are 2 x 5 x 29

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

Steps to Calculate GCD of 358, 768, 749, 290 using LCM Formula

Given numbers are 358, 768, 749, 290

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

Apply this formula for all numbers.

Step1:

LCM(358, 768) = 137472

GCD(358, 768) = ( 358 x 768 ) / 137472

= 358 / 768

= 358


Step2:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2


Step3:

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

= 1 / 290

= 1


So, Greatest Common Divisor of 358, 768, 749, 290 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 358, 768, 749, 290

Given numbers are 358, 768, 749, 290
The greatest common divisor of numbers 358, 768, 749, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 768, 749, 290 is 1.

FAQs on GCD of 358, 768, 749, 290 Calculator

1. What is the GCD of 358, 768, 749, 290?

GCD of given numbers 358, 768, 749, 290 is 1


2. How to calculate the greatest common divisor of 358, 768, 749, 290?

We can find the highest common divisor of 358, 768, 749, 290 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 358, 768, 749, 290 i.e 1.


3. How can I use the GCD of 358, 768, 749, 290Calculator?

Out the numbers 358, 768, 749, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.