GCD of 985, 748, 91, 850 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 985, 748, 91, 850 i.e. 1 largest integer that divides all the numbers equally.

GCD of 985, 748, 91, 850 is 1

GCD(985, 748, 91, 850) = 1

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

GCD of

GCD of numbers 985, 748, 91, 850 is 1

GCD(985, 748, 91, 850) = 1

GCD of 985,748,91,850 Calculator

GCDof 985,748,91,850 is 1

Given Input numbers are 985, 748, 91, 850

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

Divisors of 985

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

1, 5, 197, 985

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 985, 748, 91, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 748, 91, 850 is 1.

Therefore, GCD of numbers 985, 748, 91, 850 is 1

Finding GCD of 985, 748, 91, 850 using Prime Factorization

Given Input Data is 985, 748, 91, 850

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

Prime Factorization of 985 is 5 x 197

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 91 is 7 x 13

Prime Factorization of 850 is 2 x 5 x 5 x 17

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

Finding GCD of 985, 748, 91, 850 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(985, 748) = 736780

GCD(985, 748) = ( 985 x 748 ) / 736780

GCD(985, 748) = 736780 / 736780

GCD(985, 748) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 985, 748, 91, 850 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 985, 748, 91, 850

1. What is the GCD of 985, 748, 91, 850?

GCD of 985, 748, 91, 850 is 1


2. Where do I get the detailed procedure to find GCD of 985, 748, 91, 850?

You can find a detailed procedure to find GCD of 985, 748, 91, 850 on our page.


3. How to find GCD of 985, 748, 91, 850 on a calculator?

You can find the GCD of 985, 748, 91, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.