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 973, 278, 70 i.e. 1 largest integer that divides all the numbers equally.
GCD of 973, 278, 70 is 1
GCD(973, 278, 70) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 973, 278, 70 is 1
GCD(973, 278, 70) = 1
Given Input numbers are 973, 278, 70
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Greatest Common Divisior
We found the divisors of 973, 278, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 278, 70 is 1.
Therefore, GCD of numbers 973, 278, 70 is 1
Given Input Data is 973, 278, 70
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 973 is 7 x 139
Prime Factorization of 278 is 2 x 139
Prime Factorization of 70 is 2 x 5 x 7
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(973, 278) = 1946
GCD(973, 278) = ( 973 x 278 ) / 1946
GCD(973, 278) = 270494 / 1946
GCD(973, 278) = 139
Step2:
Here we consider the GCD from the above i.e. 139 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(139, 70) = 9730
GCD(139, 70) = ( 139 x 70 ) / 9730
GCD(139, 70) = 9730 / 9730
GCD(139, 70) = 1
GCD of 973, 278, 70 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 973, 278, 70?
GCD of 973, 278, 70 is 1
2. Where do I get the detailed procedure to find GCD of 973, 278, 70?
You can find a detailed procedure to find GCD of 973, 278, 70 on our page.
3. How to find GCD of 973, 278, 70 on a calculator?
You can find the GCD of 973, 278, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.