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 342, 474, 937, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 342, 474, 937, 700 is 1
GCD(342, 474, 937, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 474, 937, 700 is 1
GCD(342, 474, 937, 700) = 1
Given Input numbers are 342, 474, 937, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Greatest Common Divisior
We found the divisors of 342, 474, 937, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 474, 937, 700 is 1.
Therefore, GCD of numbers 342, 474, 937, 700 is 1
Given Input Data is 342, 474, 937, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 937 is 937
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
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(342, 474) = 27018
GCD(342, 474) = ( 342 x 474 ) / 27018
GCD(342, 474) = 162108 / 27018
GCD(342, 474) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 937
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 937) = 5622
GCD(6, 937) = ( 6 x 937 ) / 5622
GCD(6, 937) = 5622 / 5622
GCD(6, 937) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
GCD of 342, 474, 937, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 474, 937, 700?
GCD of 342, 474, 937, 700 is 1
2. Where do I get the detailed procedure to find GCD of 342, 474, 937, 700?
You can find a detailed procedure to find GCD of 342, 474, 937, 700 on our page.
3. How to find GCD of 342, 474, 937, 700 on a calculator?
You can find the GCD of 342, 474, 937, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.