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 970, 197, 74, 848 i.e. 1 largest integer that divides all the numbers equally.
GCD of 970, 197, 74, 848 is 1
GCD(970, 197, 74, 848) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 197, 74, 848 is 1
GCD(970, 197, 74, 848) = 1
Given Input numbers are 970, 197, 74, 848
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Greatest Common Divisior
We found the divisors of 970, 197, 74, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 197, 74, 848 is 1.
Therefore, GCD of numbers 970, 197, 74, 848 is 1
Given Input Data is 970, 197, 74, 848
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 197 is 197
Prime Factorization of 74 is 2 x 37
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
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(970, 197) = 191090
GCD(970, 197) = ( 970 x 197 ) / 191090
GCD(970, 197) = 191090 / 191090
GCD(970, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 848) = 848
GCD(1, 848) = ( 1 x 848 ) / 848
GCD(1, 848) = 848 / 848
GCD(1, 848) = 1
GCD of 970, 197, 74, 848 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 197, 74, 848?
GCD of 970, 197, 74, 848 is 1
2. Where do I get the detailed procedure to find GCD of 970, 197, 74, 848?
You can find a detailed procedure to find GCD of 970, 197, 74, 848 on our page.
3. How to find GCD of 970, 197, 74, 848 on a calculator?
You can find the GCD of 970, 197, 74, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.