GCD of 941, 364, 77, 214 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 941, 364, 77, 214 i.e. 1 largest integer that divides all the numbers equally.

GCD of 941, 364, 77, 214 is 1

GCD(941, 364, 77, 214) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 941, 364, 77, 214 is 1

GCD(941, 364, 77, 214) = 1

GCD of 941,364,77,214 Calculator

GCDof 941,364,77,214 is 1

Given Input numbers are 941, 364, 77, 214

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 941, 364, 77, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 941, 364, 77, 214 is 1.

Therefore, GCD of numbers 941, 364, 77, 214 is 1

Finding GCD of 941, 364, 77, 214 using Prime Factorization

Given Input Data is 941, 364, 77, 214

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 941 is 941

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 77 is 7 x 11

Prime Factorization of 214 is 2 x 107

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

Finding GCD of 941, 364, 77, 214 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(941, 364) = 342524

GCD(941, 364) = ( 941 x 364 ) / 342524

GCD(941, 364) = 342524 / 342524

GCD(941, 364) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 941, 364, 77, 214 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 941, 364, 77, 214

1. What is the GCD of 941, 364, 77, 214?

GCD of 941, 364, 77, 214 is 1


2. Where do I get the detailed procedure to find GCD of 941, 364, 77, 214?

You can find a detailed procedure to find GCD of 941, 364, 77, 214 on our page.


3. How to find GCD of 941, 364, 77, 214 on a calculator?

You can find the GCD of 941, 364, 77, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.