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, 157, 764, 998 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 157, 764, 998 is 1
GCD(948, 157, 764, 998) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 157, 764, 998 is 1
GCD(948, 157, 764, 998) = 1
Given Input numbers are 948, 157, 764, 998
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 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Greatest Common Divisior
We found the divisors of 948, 157, 764, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 157, 764, 998 is 1.
Therefore, GCD of numbers 948, 157, 764, 998 is 1
Given Input Data is 948, 157, 764, 998
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 157 is 157
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 998 is 2 x 499
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, 157) = 148836
GCD(948, 157) = ( 948 x 157 ) / 148836
GCD(948, 157) = 148836 / 148836
GCD(948, 157) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 1
GCD of 948, 157, 764, 998 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 157, 764, 998?
GCD of 948, 157, 764, 998 is 1
2. Where do I get the detailed procedure to find GCD of 948, 157, 764, 998?
You can find a detailed procedure to find GCD of 948, 157, 764, 998 on our page.
3. How to find GCD of 948, 157, 764, 998 on a calculator?
You can find the GCD of 948, 157, 764, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.