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 826, 888, 264, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 826, 888, 264, 757 is 1
GCD(826, 888, 264, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 826, 888, 264, 757 is 1
GCD(826, 888, 264, 757) = 1
Given Input numbers are 826, 888, 264, 757
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
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 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Greatest Common Divisior
We found the divisors of 826, 888, 264, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 888, 264, 757 is 1.
Therefore, GCD of numbers 826, 888, 264, 757 is 1
Given Input Data is 826, 888, 264, 757
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 757 is 757
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(826, 888) = 366744
GCD(826, 888) = ( 826 x 888 ) / 366744
GCD(826, 888) = 733488 / 366744
GCD(826, 888) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
GCD(2, 264) = 528 / 264
GCD(2, 264) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 757) = 1514
GCD(2, 757) = ( 2 x 757 ) / 1514
GCD(2, 757) = 1514 / 1514
GCD(2, 757) = 1
GCD of 826, 888, 264, 757 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 826, 888, 264, 757?
GCD of 826, 888, 264, 757 is 1
2. Where do I get the detailed procedure to find GCD of 826, 888, 264, 757?
You can find a detailed procedure to find GCD of 826, 888, 264, 757 on our page.
3. How to find GCD of 826, 888, 264, 757 on a calculator?
You can find the GCD of 826, 888, 264, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.