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 62, 338, 880, 942 i.e. 2 largest integer that divides all the numbers equally.
GCD of 62, 338, 880, 942 is 2
GCD(62, 338, 880, 942) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 62, 338, 880, 942 is 2
GCD(62, 338, 880, 942) = 2
Given Input numbers are 62, 338, 880, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 62, 338, 880, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 338, 880, 942 is 2.
Therefore, GCD of numbers 62, 338, 880, 942 is 2
Given Input Data is 62, 338, 880, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 62 is 2 x 31
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 942 is 2 x 3 x 157
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(62, 338) = 10478
GCD(62, 338) = ( 62 x 338 ) / 10478
GCD(62, 338) = 20956 / 10478
GCD(62, 338) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 880
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 880) = 880
GCD(2, 880) = ( 2 x 880 ) / 880
GCD(2, 880) = 1760 / 880
GCD(2, 880) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 942) = 942
GCD(2, 942) = ( 2 x 942 ) / 942
GCD(2, 942) = 1884 / 942
GCD(2, 942) = 2
GCD of 62, 338, 880, 942 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 62, 338, 880, 942?
GCD of 62, 338, 880, 942 is 2
2. Where do I get the detailed procedure to find GCD of 62, 338, 880, 942?
You can find a detailed procedure to find GCD of 62, 338, 880, 942 on our page.
3. How to find GCD of 62, 338, 880, 942 on a calculator?
You can find the GCD of 62, 338, 880, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.