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 157, 210, 969, 398 i.e. 1 largest integer that divides all the numbers equally.
GCD of 157, 210, 969, 398 is 1
GCD(157, 210, 969, 398) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 157, 210, 969, 398 is 1
GCD(157, 210, 969, 398) = 1
Given Input numbers are 157, 210, 969, 398
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 157, 210, 969, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 210, 969, 398 is 1.
Therefore, GCD of numbers 157, 210, 969, 398 is 1
Given Input Data is 157, 210, 969, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 157 is 157
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 398 is 2 x 199
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(157, 210) = 32970
GCD(157, 210) = ( 157 x 210 ) / 32970
GCD(157, 210) = 32970 / 32970
GCD(157, 210) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
GCD of 157, 210, 969, 398 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 157, 210, 969, 398?
GCD of 157, 210, 969, 398 is 1
2. Where do I get the detailed procedure to find GCD of 157, 210, 969, 398?
You can find a detailed procedure to find GCD of 157, 210, 969, 398 on our page.
3. How to find GCD of 157, 210, 969, 398 on a calculator?
You can find the GCD of 157, 210, 969, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.