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 88, 957, 448, 119 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 957, 448, 119 is 1
GCD(88, 957, 448, 119) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 957, 448, 119 is 1
GCD(88, 957, 448, 119) = 1
Given Input numbers are 88, 957, 448, 119
To find the GCD of numbers using factoring list out all the divisors of each number
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 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Greatest Common Divisior
We found the divisors of 88, 957, 448, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 957, 448, 119 is 1.
Therefore, GCD of numbers 88, 957, 448, 119 is 1
Given Input Data is 88, 957, 448, 119
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 119 is 7 x 17
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(88, 957) = 7656
GCD(88, 957) = ( 88 x 957 ) / 7656
GCD(88, 957) = 84216 / 7656
GCD(88, 957) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 448) = 4928
GCD(11, 448) = ( 11 x 448 ) / 4928
GCD(11, 448) = 4928 / 4928
GCD(11, 448) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
GCD of 88, 957, 448, 119 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 957, 448, 119?
GCD of 88, 957, 448, 119 is 1
2. Where do I get the detailed procedure to find GCD of 88, 957, 448, 119?
You can find a detailed procedure to find GCD of 88, 957, 448, 119 on our page.
3. How to find GCD of 88, 957, 448, 119 on a calculator?
You can find the GCD of 88, 957, 448, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.