GCD of 736, 980, 89, 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 736, 980, 89, 850 i.e. 1 largest integer that divides all the numbers equally.

GCD of 736, 980, 89, 850 is 1

GCD(736, 980, 89, 850) = 1

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

GCD of

GCD of numbers 736, 980, 89, 850 is 1

GCD(736, 980, 89, 850) = 1

GCD of 736,980,89,850 Calculator

GCDof 736,980,89,850 is 1

Given Input numbers are 736, 980, 89, 850

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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 736, 980, 89, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 980, 89, 850 is 1.

Therefore, GCD of numbers 736, 980, 89, 850 is 1

Finding GCD of 736, 980, 89, 850 using Prime Factorization

Given Input Data is 736, 980, 89, 850

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 89 is 89

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 736, 980, 89, 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(736, 980) = 180320

GCD(736, 980) = ( 736 x 980 ) / 180320

GCD(736, 980) = 721280 / 180320

GCD(736, 980) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 89

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

LCM(4, 89) = 356

GCD(4, 89) = ( 4 x 89 ) / 356

GCD(4, 89) = 356 / 356

GCD(4, 89) = 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 736, 980, 89, 850 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 736, 980, 89, 850

1. What is the GCD of 736, 980, 89, 850?

GCD of 736, 980, 89, 850 is 1


2. Where do I get the detailed procedure to find GCD of 736, 980, 89, 850?

You can find a detailed procedure to find GCD of 736, 980, 89, 850 on our page.


3. How to find GCD of 736, 980, 89, 850 on a calculator?

You can find the GCD of 736, 980, 89, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.