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 252, 526, 277, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 252, 526, 277, 643 is 1
GCD(252, 526, 277, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 252, 526, 277, 643 is 1
GCD(252, 526, 277, 643) = 1
Given Input numbers are 252, 526, 277, 643
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 252, 526, 277, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 526, 277, 643 is 1.
Therefore, GCD of numbers 252, 526, 277, 643 is 1
Given Input Data is 252, 526, 277, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 526 is 2 x 263
Prime Factorization of 277 is 277
Prime Factorization of 643 is 643
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(252, 526) = 66276
GCD(252, 526) = ( 252 x 526 ) / 66276
GCD(252, 526) = 132552 / 66276
GCD(252, 526) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 277) = 554
GCD(2, 277) = ( 2 x 277 ) / 554
GCD(2, 277) = 554 / 554
GCD(2, 277) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
GCD of 252, 526, 277, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 252, 526, 277, 643?
GCD of 252, 526, 277, 643 is 1
2. Where do I get the detailed procedure to find GCD of 252, 526, 277, 643?
You can find a detailed procedure to find GCD of 252, 526, 277, 643 on our page.
3. How to find GCD of 252, 526, 277, 643 on a calculator?
You can find the GCD of 252, 526, 277, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.