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GCD of 427, 784, 946, 357 Calculator

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


Online GCD Calculator is useful to find the GCD of 427, 784, 946, 357 quickly. Get the easiest ways to solve the greatest common divisor of 427, 784, 946, 357 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 427, 784, 946, 357 with Factoring?

Given Input numbers are 427, 784, 946, 357

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

Divisors of 427 :

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

1, 7, 61, 427

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 357 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (427, 784, 946, 357) = 1.

Find GCD of 427, 784, 946, 357 using Prime Factorization

Given numbers are 427, 784, 946, 357

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 946 are 2 x 11 x 43

Prime factors of 357 are 3 x 7 x 17

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

Steps to Calculate GCD of 427, 784, 946, 357 using LCM Formula

Given numbers are 427, 784, 946, 357

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

Apply this formula for all numbers.

Step1:

LCM(427, 784) = 47824

GCD(427, 784) = ( 427 x 784 ) / 47824

= 427 / 784

= 427


Step2:

LCM(7, 946) = 6622

GCD(7, 946) = ( 7 x 946 ) / 6622

= 7 / 946

= 7


Step3:

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

= 1 / 357

= 1


So, Greatest Common Divisor of 427, 784, 946, 357 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 427, 784, 946, 357

Given numbers are 427, 784, 946, 357
The greatest common divisor of numbers 427, 784, 946, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 784, 946, 357 is 1.

FAQs on GCD of 427, 784, 946, 357 Calculator

1. What is the GCD of 427, 784, 946, 357?

GCD of given numbers 427, 784, 946, 357 is 1


2. How to calculate the greatest common divisor of 427, 784, 946, 357?

We can find the highest common divisor of 427, 784, 946, 357 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 427, 784, 946, 357 i.e 1.


3. How can I use the GCD of 427, 784, 946, 357Calculator?

Out the numbers 427, 784, 946, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.