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 988, 974, 86, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 988, 974, 86, 425 is 1
GCD(988, 974, 86, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 988, 974, 86, 425 is 1
GCD(988, 974, 86, 425) = 1
Given Input numbers are 988, 974, 86, 425
To find the GCD of numbers using factoring list out all the divisors of each number
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 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 988, 974, 86, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 974, 86, 425 is 1.
Therefore, GCD of numbers 988, 974, 86, 425 is 1
Given Input Data is 988, 974, 86, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 974 is 2 x 487
Prime Factorization of 86 is 2 x 43
Prime Factorization of 425 is 5 x 5 x 17
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(988, 974) = 481156
GCD(988, 974) = ( 988 x 974 ) / 481156
GCD(988, 974) = 962312 / 481156
GCD(988, 974) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 86) = 86
GCD(2, 86) = ( 2 x 86 ) / 86
GCD(2, 86) = 172 / 86
GCD(2, 86) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 425) = 850
GCD(2, 425) = ( 2 x 425 ) / 850
GCD(2, 425) = 850 / 850
GCD(2, 425) = 1
GCD of 988, 974, 86, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 988, 974, 86, 425?
GCD of 988, 974, 86, 425 is 1
2. Where do I get the detailed procedure to find GCD of 988, 974, 86, 425?
You can find a detailed procedure to find GCD of 988, 974, 86, 425 on our page.
3. How to find GCD of 988, 974, 86, 425 on a calculator?
You can find the GCD of 988, 974, 86, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.