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, 544, 624, 602 i.e. 2 largest integer that divides all the numbers equally.
GCD of 628, 544, 624, 602 is 2
GCD(628, 544, 624, 602) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 544, 624, 602 is 2
GCD(628, 544, 624, 602) = 2
Given Input numbers are 628, 544, 624, 602
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 544
List of positive integer divisors of 544 that divides 544 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Greatest Common Divisior
We found the divisors of 628, 544, 624, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 544, 624, 602 is 2.
Therefore, GCD of numbers 628, 544, 624, 602 is 2
Given Input Data is 628, 544, 624, 602
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 544 is 2 x 2 x 2 x 2 x 2 x 17
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 602 is 2 x 7 x 43
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, 544) = 85408
GCD(628, 544) = ( 628 x 544 ) / 85408
GCD(628, 544) = 341632 / 85408
GCD(628, 544) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 624) = 624
GCD(4, 624) = ( 4 x 624 ) / 624
GCD(4, 624) = 2496 / 624
GCD(4, 624) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 602) = 1204
GCD(4, 602) = ( 4 x 602 ) / 1204
GCD(4, 602) = 2408 / 1204
GCD(4, 602) = 2
GCD of 628, 544, 624, 602 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 544, 624, 602?
GCD of 628, 544, 624, 602 is 2
2. Where do I get the detailed procedure to find GCD of 628, 544, 624, 602?
You can find a detailed procedure to find GCD of 628, 544, 624, 602 on our page.
3. How to find GCD of 628, 544, 624, 602 on a calculator?
You can find the GCD of 628, 544, 624, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.