GCD of 142, 353, 700, 344 Calculator

Given Input numbers are 142, 353, 700, 344

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

Divisors of 142

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

1, 2, 71, 142

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 142, 353, 700, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 353, 700, 344 is 1.

Therefore, GCD of numbers 142, 353, 700, 344 is 1

Given Input Data is 142, 353, 700, 344

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 353 is 353

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

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

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(142, 353) = 50126

GCD(142, 353) = ( 142 x 353 ) / 50126

GCD(142, 353) = 50126 / 50126

GCD(142, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 142, 353, 700, 344 is 1

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1. What is the GCD of 142, 353, 700, 344?

GCD of 142, 353, 700, 344 is 1

2. Where do I get the detailed procedure to find GCD of 142, 353, 700, 344?

You can find a detailed procedure to find GCD of 142, 353, 700, 344 on our page.

3. How to find GCD of 142, 353, 700, 344 on a calculator?

You can find the GCD of 142, 353, 700, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.