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GCD of 357, 231, 833, 427 Calculator

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


Online GCD Calculator is useful to find the GCD of 357, 231, 833, 427 quickly. Get the easiest ways to solve the greatest common divisor of 357, 231, 833, 427 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 357, 231, 833, 427 with Factoring?

Given Input numbers are 357, 231, 833, 427

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 833 :

The positive integer divisors of 833 that completely divides 833 are.

1, 7, 17, 49, 119, 833

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427


GCD of numbers is the greatest common divisor

So, the GCD (357, 231, 833, 427) = 7.

Find GCD of 357, 231, 833, 427 using Prime Factorization

Given numbers are 357, 231, 833, 427

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 231 are 3 x 7 x 11

Prime factors of 833 are 7 x 7 x 17

Prime factors of 427 are 7 x 61

The highest common occurrence is 71

Therefore, GCD of 357, 231, 833, 427 is 7.

Steps to Calculate GCD of 357, 231, 833, 427 using LCM Formula

Given numbers are 357, 231, 833, 427

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

Apply this formula for all numbers.

Step1:

LCM(357, 231) = 3927

GCD(357, 231) = ( 357 x 231 ) / 3927

= 357 / 231

= 357


Step2:

LCM(21, 833) = 2499

GCD(21, 833) = ( 21 x 833 ) / 2499

= 21 / 833

= 21


Step3:

LCM(7, 427) = 427

GCD(7, 427) = ( 7 x 427 ) / 427

= 7 / 427

= 7


So, Greatest Common Divisor of 357, 231, 833, 427 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 357, 231, 833, 427

Given numbers are 357, 231, 833, 427
The greatest common divisor of numbers 357, 231, 833, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 231, 833, 427 is 7.

FAQs on GCD of 357, 231, 833, 427 Calculator

1. What is the GCD of 357, 231, 833, 427?

GCD of given numbers 357, 231, 833, 427 is 7


2. How to calculate the greatest common divisor of 357, 231, 833, 427?

We can find the highest common divisor of 357, 231, 833, 427 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 357, 231, 833, 427 i.e 7.


3. How can I use the GCD of 357, 231, 833, 427Calculator?

Out the numbers 357, 231, 833, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.