GCD of 988, 874, 938 Calculator
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, 874, 938 i.e. 2 largest integer that divides all the numbers equally.
GCD of 988, 874, 938 is 2
GCD(988, 874, 938) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 988, 874, 938 is 2
GCD(988, 874, 938) = 2
GCDof 988,874,938 is 2
Given Input numbers are 988, 874, 938
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 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 988, 874, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 874, 938 is 2.
Therefore, GCD of numbers 988, 874, 938 is 2
Given Input Data is 988, 874, 938
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 874 is 2 x 19 x 23
Prime Factorization of 938 is 2 x 7 x 67
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 988, 874, 938 using LCM Formula
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, 874) = 22724
GCD(988, 874) = ( 988 x 874 ) / 22724
GCD(988, 874) = 863512 / 22724
GCD(988, 874) = 38
Step2:
Here we consider the GCD from the above i.e. 38 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(38, 938) = 17822
GCD(38, 938) = ( 38 x 938 ) / 17822
GCD(38, 938) = 35644 / 17822
GCD(38, 938) = 2
GCD of 988, 874, 938 is 2
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FAQs on GCD of numbers 988, 874, 938
1. What is the GCD of 988, 874, 938?
GCD of 988, 874, 938 is 2
2. Where do I get the detailed procedure to find GCD of 988, 874, 938?
You can find a detailed procedure to find GCD of 988, 874, 938 on our page.
3. How to find GCD of 988, 874, 938 on a calculator?
You can find the GCD of 988, 874, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.