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 710, 224, 20, 652 i.e. 2 largest integer that divides all the numbers equally.
GCD of 710, 224, 20, 652 is 2
GCD(710, 224, 20, 652) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 224, 20, 652 is 2
GCD(710, 224, 20, 652) = 2
Given Input numbers are 710, 224, 20, 652
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 710, 224, 20, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 224, 20, 652 is 2.
Therefore, GCD of numbers 710, 224, 20, 652 is 2
Given Input Data is 710, 224, 20, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 652 is 2 x 2 x 163
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(710, 224) = 79520
GCD(710, 224) = ( 710 x 224 ) / 79520
GCD(710, 224) = 159040 / 79520
GCD(710, 224) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
GCD(2, 20) = 40 / 20
GCD(2, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 652) = 652
GCD(2, 652) = ( 2 x 652 ) / 652
GCD(2, 652) = 1304 / 652
GCD(2, 652) = 2
GCD of 710, 224, 20, 652 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 224, 20, 652?
GCD of 710, 224, 20, 652 is 2
2. Where do I get the detailed procedure to find GCD of 710, 224, 20, 652?
You can find a detailed procedure to find GCD of 710, 224, 20, 652 on our page.
3. How to find GCD of 710, 224, 20, 652 on a calculator?
You can find the GCD of 710, 224, 20, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.