GCD of 749, 985, 31 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 749, 985, 31 i.e. 1 largest integer that divides all the numbers equally.

GCD of 749, 985, 31 is 1

GCD(749, 985, 31) = 1

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

GCD of

GCD of numbers 749, 985, 31 is 1

GCD(749, 985, 31) = 1

GCD of 749,985,31 Calculator

GCDof 749,985,31 is 1

Given Input numbers are 749, 985, 31

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

Divisors of 749

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

1, 7, 107, 749

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 749, 985, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 985, 31 is 1.

Therefore, GCD of numbers 749, 985, 31 is 1

Finding GCD of 749, 985, 31 using Prime Factorization

Given Input Data is 749, 985, 31

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 985 is 5 x 197

Prime Factorization of 31 is 31

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

Finding GCD of 749, 985, 31 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(749, 985) = 737765

GCD(749, 985) = ( 749 x 985 ) / 737765

GCD(749, 985) = 737765 / 737765

GCD(749, 985) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 749, 985, 31 is 1

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FAQs on GCD of numbers 749, 985, 31

1. What is the GCD of 749, 985, 31?

GCD of 749, 985, 31 is 1

2. Where do I get the detailed procedure to find GCD of 749, 985, 31?

You can find a detailed procedure to find GCD of 749, 985, 31 on our page.

3. How to find GCD of 749, 985, 31 on a calculator?

You can find the GCD of 749, 985, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.