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 numbers 802, 974, 43, 252 is 1
GCD(802, 974, 43, 252) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.