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 378, 708, 748, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 708, 748, 297 is 1
GCD(378, 708, 748, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 708, 748, 297 is 1
GCD(378, 708, 748, 297) = 1
Given Input numbers are 378, 708, 748, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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
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 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 378, 708, 748, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 708, 748, 297 is 1.
Therefore, GCD of numbers 378, 708, 748, 297 is 1
Given Input Data is 378, 708, 748, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 297 is 3 x 3 x 3 x 11
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(378, 708) = 44604
GCD(378, 708) = ( 378 x 708 ) / 44604
GCD(378, 708) = 267624 / 44604
GCD(378, 708) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 748) = 2244
GCD(6, 748) = ( 6 x 748 ) / 2244
GCD(6, 748) = 4488 / 2244
GCD(6, 748) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 297) = 594
GCD(2, 297) = ( 2 x 297 ) / 594
GCD(2, 297) = 594 / 594
GCD(2, 297) = 1
GCD of 378, 708, 748, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 708, 748, 297?
GCD of 378, 708, 748, 297 is 1
2. Where do I get the detailed procedure to find GCD of 378, 708, 748, 297?
You can find a detailed procedure to find GCD of 378, 708, 748, 297 on our page.
3. How to find GCD of 378, 708, 748, 297 on a calculator?
You can find the GCD of 378, 708, 748, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.