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 372, 748, 49, 708 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 748, 49, 708 is 1
GCD(372, 748, 49, 708) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 748, 49, 708 is 1
GCD(372, 748, 49, 708) = 1
Given Input numbers are 372, 748, 49, 708
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Greatest Common Divisior
We found the divisors of 372, 748, 49, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 748, 49, 708 is 1.
Therefore, GCD of numbers 372, 748, 49, 708 is 1
Given Input Data is 372, 748, 49, 708
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 49 is 7 x 7
Prime Factorization of 708 is 2 x 2 x 3 x 59
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(372, 748) = 69564
GCD(372, 748) = ( 372 x 748 ) / 69564
GCD(372, 748) = 278256 / 69564
GCD(372, 748) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 49) = 196
GCD(4, 49) = ( 4 x 49 ) / 196
GCD(4, 49) = 196 / 196
GCD(4, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
GCD(1, 708) = 708 / 708
GCD(1, 708) = 1
GCD of 372, 748, 49, 708 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 748, 49, 708?
GCD of 372, 748, 49, 708 is 1
2. Where do I get the detailed procedure to find GCD of 372, 748, 49, 708?
You can find a detailed procedure to find GCD of 372, 748, 49, 708 on our page.
3. How to find GCD of 372, 748, 49, 708 on a calculator?
You can find the GCD of 372, 748, 49, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.