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 628, 182, 718, 948 i.e. 2 largest integer that divides all the numbers equally.
GCD of 628, 182, 718, 948 is 2
GCD(628, 182, 718, 948) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 182, 718, 948 is 2
GCD(628, 182, 718, 948) = 2
Given Input numbers are 628, 182, 718, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
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 628, 182, 718, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 182, 718, 948 is 2.
Therefore, GCD of numbers 628, 182, 718, 948 is 2
Given Input Data is 628, 182, 718, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 718 is 2 x 359
Prime Factorization of 948 is 2 x 2 x 3 x 79
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(628, 182) = 57148
GCD(628, 182) = ( 628 x 182 ) / 57148
GCD(628, 182) = 114296 / 57148
GCD(628, 182) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 718) = 718
GCD(2, 718) = ( 2 x 718 ) / 718
GCD(2, 718) = 1436 / 718
GCD(2, 718) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 948) = 948
GCD(2, 948) = ( 2 x 948 ) / 948
GCD(2, 948) = 1896 / 948
GCD(2, 948) = 2
GCD of 628, 182, 718, 948 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 182, 718, 948?
GCD of 628, 182, 718, 948 is 2
2. Where do I get the detailed procedure to find GCD of 628, 182, 718, 948?
You can find a detailed procedure to find GCD of 628, 182, 718, 948 on our page.
3. How to find GCD of 628, 182, 718, 948 on a calculator?
You can find the GCD of 628, 182, 718, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.