GCD of 85, 742, 158, 708 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 85, 742, 158, 708 i.e. 1 largest integer that divides all the numbers equally.

GCD of 85, 742, 158, 708 is 1

GCD(85, 742, 158, 708) = 1

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

GCD of

GCD of numbers 85, 742, 158, 708 is 1

GCD(85, 742, 158, 708) = 1

GCD of 85,742,158,708 Calculator

GCDof 85,742,158,708 is 1

Given Input numbers are 85, 742, 158, 708

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 85, 742, 158, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 742, 158, 708 is 1.

Therefore, GCD of numbers 85, 742, 158, 708 is 1

Finding GCD of 85, 742, 158, 708 using Prime Factorization

Given Input Data is 85, 742, 158, 708

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 158 is 2 x 79

Prime Factorization of 708 is 2 x 2 x 3 x 59

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

Finding GCD of 85, 742, 158, 708 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(85, 742) = 63070

GCD(85, 742) = ( 85 x 742 ) / 63070

GCD(85, 742) = 63070 / 63070

GCD(85, 742) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 85, 742, 158, 708 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 85, 742, 158, 708

1. What is the GCD of 85, 742, 158, 708?

GCD of 85, 742, 158, 708 is 1


2. Where do I get the detailed procedure to find GCD of 85, 742, 158, 708?

You can find a detailed procedure to find GCD of 85, 742, 158, 708 on our page.


3. How to find GCD of 85, 742, 158, 708 on a calculator?

You can find the GCD of 85, 742, 158, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.