GCD of 700, 175, 342 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 700, 175, 342 i.e. 1 largest integer that divides all the numbers equally.

GCD of 700, 175, 342 is 1

GCD(700, 175, 342) = 1

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

GCD of

GCD of numbers 700, 175, 342 is 1

GCD(700, 175, 342) = 1

GCD of 700,175,342 Calculator

GCDof 700,175,342 is 1

Given Input numbers are 700, 175, 342

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 700, 175, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 175, 342 is 1.

Therefore, GCD of numbers 700, 175, 342 is 1

Finding GCD of 700, 175, 342 using Prime Factorization

Given Input Data is 700, 175, 342

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 342 is 2 x 3 x 3 x 19

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

Finding GCD of 700, 175, 342 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(700, 175) = 700

GCD(700, 175) = ( 700 x 175 ) / 700

GCD(700, 175) = 122500 / 700

GCD(700, 175) = 175

Step2:

Here we consider the GCD from the above i.e. 175 as first number and the next as 342

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

LCM(175, 342) = 59850

GCD(175, 342) = ( 175 x 342 ) / 59850

GCD(175, 342) = 59850 / 59850

GCD(175, 342) = 1

GCD of 700, 175, 342 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 700, 175, 342

1. What is the GCD of 700, 175, 342?

GCD of 700, 175, 342 is 1

2. Where do I get the detailed procedure to find GCD of 700, 175, 342?

You can find a detailed procedure to find GCD of 700, 175, 342 on our page.

3. How to find GCD of 700, 175, 342 on a calculator?

You can find the GCD of 700, 175, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.