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, 746, 319, 920 i.e. 1 largest integer that divides all the numbers equally.
GCD of 988, 746, 319, 920 is 1
GCD(988, 746, 319, 920) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 988, 746, 319, 920 is 1
GCD(988, 746, 319, 920) = 1
Given Input numbers are 988, 746, 319, 920
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 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 988, 746, 319, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 746, 319, 920 is 1.
Therefore, GCD of numbers 988, 746, 319, 920 is 1
Given Input Data is 988, 746, 319, 920
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 746 is 2 x 373
Prime Factorization of 319 is 11 x 29
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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, 746) = 368524
GCD(988, 746) = ( 988 x 746 ) / 368524
GCD(988, 746) = 737048 / 368524
GCD(988, 746) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 319) = 638
GCD(2, 319) = ( 2 x 319 ) / 638
GCD(2, 319) = 638 / 638
GCD(2, 319) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
GCD of 988, 746, 319, 920 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 988, 746, 319, 920?
GCD of 988, 746, 319, 920 is 1
2. Where do I get the detailed procedure to find GCD of 988, 746, 319, 920?
You can find a detailed procedure to find GCD of 988, 746, 319, 920 on our page.
3. How to find GCD of 988, 746, 319, 920 on a calculator?
You can find the GCD of 988, 746, 319, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.