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 858, 630, 56, 702 i.e. 2 largest integer that divides all the numbers equally.
GCD of 858, 630, 56, 702 is 2
GCD(858, 630, 56, 702) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 858, 630, 56, 702 is 2
GCD(858, 630, 56, 702) = 2
Given Input numbers are 858, 630, 56, 702
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 858, 630, 56, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 630, 56, 702 is 2.
Therefore, GCD of numbers 858, 630, 56, 702 is 2
Given Input Data is 858, 630, 56, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
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(858, 630) = 90090
GCD(858, 630) = ( 858 x 630 ) / 90090
GCD(858, 630) = 540540 / 90090
GCD(858, 630) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 56) = 168
GCD(6, 56) = ( 6 x 56 ) / 168
GCD(6, 56) = 336 / 168
GCD(6, 56) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
GCD(2, 702) = 1404 / 702
GCD(2, 702) = 2
GCD of 858, 630, 56, 702 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 858, 630, 56, 702?
GCD of 858, 630, 56, 702 is 2
2. Where do I get the detailed procedure to find GCD of 858, 630, 56, 702?
You can find a detailed procedure to find GCD of 858, 630, 56, 702 on our page.
3. How to find GCD of 858, 630, 56, 702 on a calculator?
You can find the GCD of 858, 630, 56, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.