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 55, 988, 762, 826 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 988, 762, 826 is 1
GCD(55, 988, 762, 826) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 988, 762, 826 is 1
GCD(55, 988, 762, 826) = 1
Given Input numbers are 55, 988, 762, 826
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 55, 988, 762, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 988, 762, 826 is 1.
Therefore, GCD of numbers 55, 988, 762, 826 is 1
Given Input Data is 55, 988, 762, 826
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 826 is 2 x 7 x 59
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(55, 988) = 54340
GCD(55, 988) = ( 55 x 988 ) / 54340
GCD(55, 988) = 54340 / 54340
GCD(55, 988) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 826) = 826
GCD(1, 826) = ( 1 x 826 ) / 826
GCD(1, 826) = 826 / 826
GCD(1, 826) = 1
GCD of 55, 988, 762, 826 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 988, 762, 826?
GCD of 55, 988, 762, 826 is 1
2. Where do I get the detailed procedure to find GCD of 55, 988, 762, 826?
You can find a detailed procedure to find GCD of 55, 988, 762, 826 on our page.
3. How to find GCD of 55, 988, 762, 826 on a calculator?
You can find the GCD of 55, 988, 762, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.