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, 791, 976, 739 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 791, 976, 739 is 1
GCD(70, 791, 976, 739) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 791, 976, 739 is 1
GCD(70, 791, 976, 739) = 1
Given Input numbers are 70, 791, 976, 739
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 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Greatest Common Divisior
We found the divisors of 70, 791, 976, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 791, 976, 739 is 1.
Therefore, GCD of numbers 70, 791, 976, 739 is 1
Given Input Data is 70, 791, 976, 739
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 791 is 7 x 113
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 739 is 739
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, 791) = 7910
GCD(70, 791) = ( 70 x 791 ) / 7910
GCD(70, 791) = 55370 / 7910
GCD(70, 791) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 976) = 6832
GCD(7, 976) = ( 7 x 976 ) / 6832
GCD(7, 976) = 6832 / 6832
GCD(7, 976) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 739) = 739
GCD(1, 739) = ( 1 x 739 ) / 739
GCD(1, 739) = 739 / 739
GCD(1, 739) = 1
GCD of 70, 791, 976, 739 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 791, 976, 739?
GCD of 70, 791, 976, 739 is 1
2. Where do I get the detailed procedure to find GCD of 70, 791, 976, 739?
You can find a detailed procedure to find GCD of 70, 791, 976, 739 on our page.
3. How to find GCD of 70, 791, 976, 739 on a calculator?
You can find the GCD of 70, 791, 976, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.