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, 786, 618, 588 i.e. 2 largest integer that divides all the numbers equally.
GCD of 628, 786, 618, 588 is 2
GCD(628, 786, 618, 588) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 786, 618, 588 is 2
GCD(628, 786, 618, 588) = 2
Given Input numbers are 628, 786, 618, 588
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 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 628, 786, 618, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 786, 618, 588 is 2.
Therefore, GCD of numbers 628, 786, 618, 588 is 2
Given Input Data is 628, 786, 618, 588
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 786 is 2 x 3 x 131
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
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, 786) = 246804
GCD(628, 786) = ( 628 x 786 ) / 246804
GCD(628, 786) = 493608 / 246804
GCD(628, 786) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 618
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 618) = 618
GCD(2, 618) = ( 2 x 618 ) / 618
GCD(2, 618) = 1236 / 618
GCD(2, 618) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 588) = 588
GCD(2, 588) = ( 2 x 588 ) / 588
GCD(2, 588) = 1176 / 588
GCD(2, 588) = 2
GCD of 628, 786, 618, 588 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 786, 618, 588?
GCD of 628, 786, 618, 588 is 2
2. Where do I get the detailed procedure to find GCD of 628, 786, 618, 588?
You can find a detailed procedure to find GCD of 628, 786, 618, 588 on our page.
3. How to find GCD of 628, 786, 618, 588 on a calculator?
You can find the GCD of 628, 786, 618, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.