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 525, 264, 802, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 525, 264, 802, 220 is 1
GCD(525, 264, 802, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 525, 264, 802, 220 is 1
GCD(525, 264, 802, 220) = 1
Given Input numbers are 525, 264, 802, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 525, 264, 802, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 264, 802, 220 is 1.
Therefore, GCD of numbers 525, 264, 802, 220 is 1
Given Input Data is 525, 264, 802, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 802 is 2 x 401
Prime Factorization of 220 is 2 x 2 x 5 x 11
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(525, 264) = 46200
GCD(525, 264) = ( 525 x 264 ) / 46200
GCD(525, 264) = 138600 / 46200
GCD(525, 264) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 802) = 2406
GCD(3, 802) = ( 3 x 802 ) / 2406
GCD(3, 802) = 2406 / 2406
GCD(3, 802) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 525, 264, 802, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 525, 264, 802, 220?
GCD of 525, 264, 802, 220 is 1
2. Where do I get the detailed procedure to find GCD of 525, 264, 802, 220?
You can find a detailed procedure to find GCD of 525, 264, 802, 220 on our page.
3. How to find GCD of 525, 264, 802, 220 on a calculator?
You can find the GCD of 525, 264, 802, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.