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 275, 319, 88, 948 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 319, 88, 948 is 1
GCD(275, 319, 88, 948) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 319, 88, 948 is 1
GCD(275, 319, 88, 948) = 1
Given Input numbers are 275, 319, 88, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
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
Greatest Common Divisior
We found the divisors of 275, 319, 88, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 319, 88, 948 is 1.
Therefore, GCD of numbers 275, 319, 88, 948 is 1
Given Input Data is 275, 319, 88, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 319 is 11 x 29
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 948 is 2 x 2 x 3 x 79
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(275, 319) = 7975
GCD(275, 319) = ( 275 x 319 ) / 7975
GCD(275, 319) = 87725 / 7975
GCD(275, 319) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 88) = 88
GCD(11, 88) = ( 11 x 88 ) / 88
GCD(11, 88) = 968 / 88
GCD(11, 88) = 11
Step3:
Here we consider the GCD from the above i.e. 11 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 948) = 10428
GCD(11, 948) = ( 11 x 948 ) / 10428
GCD(11, 948) = 10428 / 10428
GCD(11, 948) = 1
GCD of 275, 319, 88, 948 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 319, 88, 948?
GCD of 275, 319, 88, 948 is 1
2. Where do I get the detailed procedure to find GCD of 275, 319, 88, 948?
You can find a detailed procedure to find GCD of 275, 319, 88, 948 on our page.
3. How to find GCD of 275, 319, 88, 948 on a calculator?
You can find the GCD of 275, 319, 88, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.