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GCD of 302, 436, 474, 702 Calculator

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


Online GCD Calculator is useful to find the GCD of 302, 436, 474, 702 quickly. Get the easiest ways to solve the greatest common divisor of 302, 436, 474, 702 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 302, 436, 474, 702 with Factoring?

Given Input numbers are 302, 436, 474, 702

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702


GCD of numbers is the greatest common divisor

So, the GCD (302, 436, 474, 702) = 2.

Find GCD of 302, 436, 474, 702 using Prime Factorization

Given numbers are 302, 436, 474, 702

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

Prime factors of 436 are 2 x 2 x 109

Prime factors of 474 are 2 x 3 x 79

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 302, 436, 474, 702 is 2.

Steps to Calculate GCD of 302, 436, 474, 702 using LCM Formula

Given numbers are 302, 436, 474, 702

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

Apply this formula for all numbers.

Step1:

LCM(302, 436) = 65836

GCD(302, 436) = ( 302 x 436 ) / 65836

= 302 / 436

= 302


Step2:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2


Step3:

LCM(2, 702) = 702

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

= 2 / 702

= 2


So, Greatest Common Divisor of 302, 436, 474, 702 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 302, 436, 474, 702

Given numbers are 302, 436, 474, 702
The greatest common divisor of numbers 302, 436, 474, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 436, 474, 702 is 2.

FAQs on GCD of 302, 436, 474, 702 Calculator

1. What is the GCD of 302, 436, 474, 702?

GCD of given numbers 302, 436, 474, 702 is 2


2. How to calculate the greatest common divisor of 302, 436, 474, 702?

We can find the highest common divisor of 302, 436, 474, 702 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 302, 436, 474, 702 i.e 2.


3. How can I use the GCD of 302, 436, 474, 702Calculator?

Out the numbers 302, 436, 474, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.