GCD of 989, 782, 70, 787 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 989, 782, 70, 787 i.e. 1 largest integer that divides all the numbers equally.

GCD of 989, 782, 70, 787 is 1

GCD(989, 782, 70, 787) = 1

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

GCD of

GCD of numbers 989, 782, 70, 787 is 1

GCD(989, 782, 70, 787) = 1

GCD of 989,782,70,787 Calculator

GCDof 989,782,70,787 is 1

Given Input numbers are 989, 782, 70, 787

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Greatest Common Divisior

We found the divisors of 989, 782, 70, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 782, 70, 787 is 1.

Therefore, GCD of numbers 989, 782, 70, 787 is 1

Finding GCD of 989, 782, 70, 787 using Prime Factorization

Given Input Data is 989, 782, 70, 787

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 787 is 787

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

Finding GCD of 989, 782, 70, 787 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(989, 782) = 33626

GCD(989, 782) = ( 989 x 782 ) / 33626

GCD(989, 782) = 773398 / 33626

GCD(989, 782) = 23


Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 70

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

LCM(23, 70) = 1610

GCD(23, 70) = ( 23 x 70 ) / 1610

GCD(23, 70) = 1610 / 1610

GCD(23, 70) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 787

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

LCM(1, 787) = 787

GCD(1, 787) = ( 1 x 787 ) / 787

GCD(1, 787) = 787 / 787

GCD(1, 787) = 1

GCD of 989, 782, 70, 787 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 989, 782, 70, 787

1. What is the GCD of 989, 782, 70, 787?

GCD of 989, 782, 70, 787 is 1


2. Where do I get the detailed procedure to find GCD of 989, 782, 70, 787?

You can find a detailed procedure to find GCD of 989, 782, 70, 787 on our page.


3. How to find GCD of 989, 782, 70, 787 on a calculator?

You can find the GCD of 989, 782, 70, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.