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 542, 626, 682, 782 i.e. 2 largest integer that divides all the numbers equally.
GCD of 542, 626, 682, 782 is 2
GCD(542, 626, 682, 782) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 542, 626, 682, 782 is 2
GCD(542, 626, 682, 782) = 2
Given Input numbers are 542, 626, 682, 782
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Greatest Common Divisior
We found the divisors of 542, 626, 682, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 626, 682, 782 is 2.
Therefore, GCD of numbers 542, 626, 682, 782 is 2
Given Input Data is 542, 626, 682, 782
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 542 is 2 x 271
Prime Factorization of 626 is 2 x 313
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 782 is 2 x 17 x 23
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(542, 626) = 169646
GCD(542, 626) = ( 542 x 626 ) / 169646
GCD(542, 626) = 339292 / 169646
GCD(542, 626) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
GCD(2, 682) = 1364 / 682
GCD(2, 682) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 782) = 782
GCD(2, 782) = ( 2 x 782 ) / 782
GCD(2, 782) = 1564 / 782
GCD(2, 782) = 2
GCD of 542, 626, 682, 782 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 542, 626, 682, 782?
GCD of 542, 626, 682, 782 is 2
2. Where do I get the detailed procedure to find GCD of 542, 626, 682, 782?
You can find a detailed procedure to find GCD of 542, 626, 682, 782 on our page.
3. How to find GCD of 542, 626, 682, 782 on a calculator?
You can find the GCD of 542, 626, 682, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.