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 708, 771, 374, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 708, 771, 374, 601 is 1
GCD(708, 771, 374, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 771, 374, 601 is 1
GCD(708, 771, 374, 601) = 1
Given Input numbers are 708, 771, 374, 601
To find the GCD of numbers using factoring list out all the divisors of each number
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 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 708, 771, 374, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 771, 374, 601 is 1.
Therefore, GCD of numbers 708, 771, 374, 601 is 1
Given Input Data is 708, 771, 374, 601
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 771 is 3 x 257
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 601 is 601
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(708, 771) = 181956
GCD(708, 771) = ( 708 x 771 ) / 181956
GCD(708, 771) = 545868 / 181956
GCD(708, 771) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 374) = 1122
GCD(3, 374) = ( 3 x 374 ) / 1122
GCD(3, 374) = 1122 / 1122
GCD(3, 374) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
GCD of 708, 771, 374, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 771, 374, 601?
GCD of 708, 771, 374, 601 is 1
2. Where do I get the detailed procedure to find GCD of 708, 771, 374, 601?
You can find a detailed procedure to find GCD of 708, 771, 374, 601 on our page.
3. How to find GCD of 708, 771, 374, 601 on a calculator?
You can find the GCD of 708, 771, 374, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.