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 358, 948, 84, 919 i.e. 1 largest integer that divides all the numbers equally.
GCD of 358, 948, 84, 919 is 1
GCD(358, 948, 84, 919) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 358, 948, 84, 919 is 1
GCD(358, 948, 84, 919) = 1
Given Input numbers are 358, 948, 84, 919
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
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 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Greatest Common Divisior
We found the divisors of 358, 948, 84, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 948, 84, 919 is 1.
Therefore, GCD of numbers 358, 948, 84, 919 is 1
Given Input Data is 358, 948, 84, 919
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 358 is 2 x 179
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 919 is 919
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(358, 948) = 169692
GCD(358, 948) = ( 358 x 948 ) / 169692
GCD(358, 948) = 339384 / 169692
GCD(358, 948) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 84) = 84
GCD(2, 84) = ( 2 x 84 ) / 84
GCD(2, 84) = 168 / 84
GCD(2, 84) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 919
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 919) = 1838
GCD(2, 919) = ( 2 x 919 ) / 1838
GCD(2, 919) = 1838 / 1838
GCD(2, 919) = 1
GCD of 358, 948, 84, 919 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 358, 948, 84, 919?
GCD of 358, 948, 84, 919 is 1
2. Where do I get the detailed procedure to find GCD of 358, 948, 84, 919?
You can find a detailed procedure to find GCD of 358, 948, 84, 919 on our page.
3. How to find GCD of 358, 948, 84, 919 on a calculator?
You can find the GCD of 358, 948, 84, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.