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 942, 585, 208, 348 i.e. 1 largest integer that divides all the numbers equally.
GCD of 942, 585, 208, 348 is 1
GCD(942, 585, 208, 348) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 942, 585, 208, 348 is 1
GCD(942, 585, 208, 348) = 1
Given Input numbers are 942, 585, 208, 348
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Greatest Common Divisior
We found the divisors of 942, 585, 208, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 585, 208, 348 is 1.
Therefore, GCD of numbers 942, 585, 208, 348 is 1
Given Input Data is 942, 585, 208, 348
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 348 is 2 x 2 x 3 x 29
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(942, 585) = 183690
GCD(942, 585) = ( 942 x 585 ) / 183690
GCD(942, 585) = 551070 / 183690
GCD(942, 585) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 208) = 624
GCD(3, 208) = ( 3 x 208 ) / 624
GCD(3, 208) = 624 / 624
GCD(3, 208) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
GCD(1, 348) = 348 / 348
GCD(1, 348) = 1
GCD of 942, 585, 208, 348 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 942, 585, 208, 348?
GCD of 942, 585, 208, 348 is 1
2. Where do I get the detailed procedure to find GCD of 942, 585, 208, 348?
You can find a detailed procedure to find GCD of 942, 585, 208, 348 on our page.
3. How to find GCD of 942, 585, 208, 348 on a calculator?
You can find the GCD of 942, 585, 208, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.