GCD of 968, 402, 701, 400 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 968, 402, 701, 400 i.e. 1 largest integer that divides all the numbers equally.

GCD of 968, 402, 701, 400 is 1

GCD(968, 402, 701, 400) = 1

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

GCD of

GCD of numbers 968, 402, 701, 400 is 1

GCD(968, 402, 701, 400) = 1

GCD of 968,402,701,400 Calculator

GCDof 968,402,701,400 is 1

Given Input numbers are 968, 402, 701, 400

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 968, 402, 701, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 402, 701, 400 is 1.

Therefore, GCD of numbers 968, 402, 701, 400 is 1

Finding GCD of 968, 402, 701, 400 using Prime Factorization

Given Input Data is 968, 402, 701, 400

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 701 is 701

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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

Finding GCD of 968, 402, 701, 400 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(968, 402) = 194568

GCD(968, 402) = ( 968 x 402 ) / 194568

GCD(968, 402) = 389136 / 194568

GCD(968, 402) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 701

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

LCM(2, 701) = 1402

GCD(2, 701) = ( 2 x 701 ) / 1402

GCD(2, 701) = 1402 / 1402

GCD(2, 701) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 968, 402, 701, 400 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 968, 402, 701, 400

1. What is the GCD of 968, 402, 701, 400?

GCD of 968, 402, 701, 400 is 1


2. Where do I get the detailed procedure to find GCD of 968, 402, 701, 400?

You can find a detailed procedure to find GCD of 968, 402, 701, 400 on our page.


3. How to find GCD of 968, 402, 701, 400 on a calculator?

You can find the GCD of 968, 402, 701, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.