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 70, 746, 379, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 746, 379, 779 is 1
GCD(70, 746, 379, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 746, 379, 779 is 1
GCD(70, 746, 379, 779) = 1
Given Input numbers are 70, 746, 379, 779
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 70, 746, 379, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 746, 379, 779 is 1.
Therefore, GCD of numbers 70, 746, 379, 779 is 1
Given Input Data is 70, 746, 379, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 746 is 2 x 373
Prime Factorization of 379 is 379
Prime Factorization of 779 is 19 x 41
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(70, 746) = 26110
GCD(70, 746) = ( 70 x 746 ) / 26110
GCD(70, 746) = 52220 / 26110
GCD(70, 746) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 379) = 758
GCD(2, 379) = ( 2 x 379 ) / 758
GCD(2, 379) = 758 / 758
GCD(2, 379) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 1
GCD of 70, 746, 379, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 746, 379, 779?
GCD of 70, 746, 379, 779 is 1
2. Where do I get the detailed procedure to find GCD of 70, 746, 379, 779?
You can find a detailed procedure to find GCD of 70, 746, 379, 779 on our page.
3. How to find GCD of 70, 746, 379, 779 on a calculator?
You can find the GCD of 70, 746, 379, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.