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 948, 369, 973, 674 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 369, 973, 674 is 1
GCD(948, 369, 973, 674) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 369, 973, 674 is 1
GCD(948, 369, 973, 674) = 1
Given Input numbers are 948, 369, 973, 674
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Greatest Common Divisior
We found the divisors of 948, 369, 973, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 369, 973, 674 is 1.
Therefore, GCD of numbers 948, 369, 973, 674 is 1
Given Input Data is 948, 369, 973, 674
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 973 is 7 x 139
Prime Factorization of 674 is 2 x 337
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(948, 369) = 116604
GCD(948, 369) = ( 948 x 369 ) / 116604
GCD(948, 369) = 349812 / 116604
GCD(948, 369) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 973) = 2919
GCD(3, 973) = ( 3 x 973 ) / 2919
GCD(3, 973) = 2919 / 2919
GCD(3, 973) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
GCD of 948, 369, 973, 674 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 369, 973, 674?
GCD of 948, 369, 973, 674 is 1
2. Where do I get the detailed procedure to find GCD of 948, 369, 973, 674?
You can find a detailed procedure to find GCD of 948, 369, 973, 674 on our page.
3. How to find GCD of 948, 369, 973, 674 on a calculator?
You can find the GCD of 948, 369, 973, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.