GCD of 802, 974, 43, 252 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 802, 974, 43, 252 i.e. 1 largest integer that divides all the numbers equally.

GCD of 802, 974, 43, 252 is 1

GCD(802, 974, 43, 252) = 1

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

GCD of

GCD of numbers 802, 974, 43, 252 is 1

GCD(802, 974, 43, 252) = 1

GCD of 802,974,43,252 Calculator

GCDof 802,974,43,252 is 1

Given Input numbers are 802, 974, 43, 252

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 802, 974, 43, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 974, 43, 252 is 1.

Therefore, GCD of numbers 802, 974, 43, 252 is 1

Finding GCD of 802, 974, 43, 252 using Prime Factorization

Given Input Data is 802, 974, 43, 252

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 974 is 2 x 487

Prime Factorization of 43 is 43

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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

Finding GCD of 802, 974, 43, 252 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(802, 974) = 390574

GCD(802, 974) = ( 802 x 974 ) / 390574

GCD(802, 974) = 781148 / 390574

GCD(802, 974) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 43

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

LCM(2, 43) = 86

GCD(2, 43) = ( 2 x 43 ) / 86

GCD(2, 43) = 86 / 86

GCD(2, 43) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 802, 974, 43, 252 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 802, 974, 43, 252

1. What is the GCD of 802, 974, 43, 252?

GCD of 802, 974, 43, 252 is 1


2. Where do I get the detailed procedure to find GCD of 802, 974, 43, 252?

You can find a detailed procedure to find GCD of 802, 974, 43, 252 on our page.


3. How to find GCD of 802, 974, 43, 252 on a calculator?

You can find the GCD of 802, 974, 43, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.