GCD of 98, 774, 737, 959 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 98, 774, 737, 959 i.e. 1 largest integer that divides all the numbers equally.

GCD of 98, 774, 737, 959 is 1

GCD(98, 774, 737, 959) = 1

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

GCD of

GCD of numbers 98, 774, 737, 959 is 1

GCD(98, 774, 737, 959) = 1

GCD of 98,774,737,959 Calculator

GCDof 98,774,737,959 is 1

Given Input numbers are 98, 774, 737, 959

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 98, 774, 737, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 774, 737, 959 is 1.

Therefore, GCD of numbers 98, 774, 737, 959 is 1

Finding GCD of 98, 774, 737, 959 using Prime Factorization

Given Input Data is 98, 774, 737, 959

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 737 is 11 x 67

Prime Factorization of 959 is 7 x 137

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

Finding GCD of 98, 774, 737, 959 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(98, 774) = 37926

GCD(98, 774) = ( 98 x 774 ) / 37926

GCD(98, 774) = 75852 / 37926

GCD(98, 774) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 737

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

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

GCD(2, 737) = 1474 / 1474

GCD(2, 737) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 98, 774, 737, 959 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 98, 774, 737, 959

1. What is the GCD of 98, 774, 737, 959?

GCD of 98, 774, 737, 959 is 1


2. Where do I get the detailed procedure to find GCD of 98, 774, 737, 959?

You can find a detailed procedure to find GCD of 98, 774, 737, 959 on our page.


3. How to find GCD of 98, 774, 737, 959 on a calculator?

You can find the GCD of 98, 774, 737, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.