GCD of 705, 991, 142, 695 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 705, 991, 142, 695 i.e. 1 largest integer that divides all the numbers equally.

GCD of 705, 991, 142, 695 is 1

GCD(705, 991, 142, 695) = 1

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

GCD of

GCD of numbers 705, 991, 142, 695 is 1

GCD(705, 991, 142, 695) = 1

GCD of 705,991,142,695 Calculator

GCDof 705,991,142,695 is 1

Given Input numbers are 705, 991, 142, 695

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 705, 991, 142, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 991, 142, 695 is 1.

Therefore, GCD of numbers 705, 991, 142, 695 is 1

Finding GCD of 705, 991, 142, 695 using Prime Factorization

Given Input Data is 705, 991, 142, 695

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 991 is 991

Prime Factorization of 142 is 2 x 71

Prime Factorization of 695 is 5 x 139

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

Finding GCD of 705, 991, 142, 695 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(705, 991) = 698655

GCD(705, 991) = ( 705 x 991 ) / 698655

GCD(705, 991) = 698655 / 698655

GCD(705, 991) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 705, 991, 142, 695 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 705, 991, 142, 695

1. What is the GCD of 705, 991, 142, 695?

GCD of 705, 991, 142, 695 is 1


2. Where do I get the detailed procedure to find GCD of 705, 991, 142, 695?

You can find a detailed procedure to find GCD of 705, 991, 142, 695 on our page.


3. How to find GCD of 705, 991, 142, 695 on a calculator?

You can find the GCD of 705, 991, 142, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.