GCD of 552, 771, 941, 749 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 552, 771, 941, 749 i.e. 1 largest integer that divides all the numbers equally.

GCD of 552, 771, 941, 749 is 1

GCD(552, 771, 941, 749) = 1

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

GCD of

GCD of numbers 552, 771, 941, 749 is 1

GCD(552, 771, 941, 749) = 1

GCD of 552,771,941,749 Calculator

GCDof 552,771,941,749 is 1

Given Input numbers are 552, 771, 941, 749

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 941

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

1, 941

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 552, 771, 941, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 771, 941, 749 is 1.

Therefore, GCD of numbers 552, 771, 941, 749 is 1

Finding GCD of 552, 771, 941, 749 using Prime Factorization

Given Input Data is 552, 771, 941, 749

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 771 is 3 x 257

Prime Factorization of 941 is 941

Prime Factorization of 749 is 7 x 107

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

Finding GCD of 552, 771, 941, 749 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(552, 771) = 141864

GCD(552, 771) = ( 552 x 771 ) / 141864

GCD(552, 771) = 425592 / 141864

GCD(552, 771) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 941

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

LCM(3, 941) = 2823

GCD(3, 941) = ( 3 x 941 ) / 2823

GCD(3, 941) = 2823 / 2823

GCD(3, 941) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 552, 771, 941, 749 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 552, 771, 941, 749

1. What is the GCD of 552, 771, 941, 749?

GCD of 552, 771, 941, 749 is 1


2. Where do I get the detailed procedure to find GCD of 552, 771, 941, 749?

You can find a detailed procedure to find GCD of 552, 771, 941, 749 on our page.


3. How to find GCD of 552, 771, 941, 749 on a calculator?

You can find the GCD of 552, 771, 941, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.