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GCD of 791, 476, 434 Calculator

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


Online GCD Calculator is useful to find the GCD of 791, 476, 434 quickly. Get the easiest ways to solve the greatest common divisor of 791, 476, 434 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 791, 476, 434 with Factoring?

Given Input numbers are 791, 476, 434

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

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434


GCD of numbers is the greatest common divisor

So, the GCD (791, 476, 434) = 7.

Find GCD of 791, 476, 434 using Prime Factorization

Given numbers are 791, 476, 434

The list of prime factors of all numbers are

Prime factors of 791 are 7 x 113

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 71

Therefore, GCD of 791, 476, 434 is 7.

Steps to Calculate GCD of 791, 476, 434 using LCM Formula

Given numbers are 791, 476, 434

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

Apply this formula for all numbers.

Step1:

LCM(791, 476) = 53788

GCD(791, 476) = ( 791 x 476 ) / 53788

= 791 / 476

= 791


Step2:

LCM(7, 434) = 434

GCD(7, 434) = ( 7 x 434 ) / 434

= 7 / 434

= 7


So, Greatest Common Divisor of 791, 476, 434 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 791, 476, 434

Given numbers are 791, 476, 434
The greatest common divisor of numbers 791, 476, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 791, 476, 434 is 7.

FAQs on GCD of 791, 476, 434 Calculator

1. What is the GCD of 791, 476, 434?

GCD of given numbers 791, 476, 434 is 7


2. How to calculate the greatest common divisor of 791, 476, 434?

We can find the highest common divisor of 791, 476, 434 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 791, 476, 434 i.e 7.


3. How can I use the GCD of 791, 476, 434Calculator?

Out the numbers 791, 476, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.