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 424, 624, 265, 709 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 624, 265, 709 is 1
GCD(424, 624, 265, 709) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 624, 265, 709 is 1
GCD(424, 624, 265, 709) = 1
Given Input numbers are 424, 624, 265, 709
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
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 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Greatest Common Divisior
We found the divisors of 424, 624, 265, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 624, 265, 709 is 1.
Therefore, GCD of numbers 424, 624, 265, 709 is 1
Given Input Data is 424, 624, 265, 709
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 265 is 5 x 53
Prime Factorization of 709 is 709
The above numbers do not have any common prime factor. So GCD is 1
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(424, 624) = 33072
GCD(424, 624) = ( 424 x 624 ) / 33072
GCD(424, 624) = 264576 / 33072
GCD(424, 624) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 265) = 2120
GCD(8, 265) = ( 8 x 265 ) / 2120
GCD(8, 265) = 2120 / 2120
GCD(8, 265) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
GCD(1, 709) = 709 / 709
GCD(1, 709) = 1
GCD of 424, 624, 265, 709 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 624, 265, 709?
GCD of 424, 624, 265, 709 is 1
2. Where do I get the detailed procedure to find GCD of 424, 624, 265, 709?
You can find a detailed procedure to find GCD of 424, 624, 265, 709 on our page.
3. How to find GCD of 424, 624, 265, 709 on a calculator?
You can find the GCD of 424, 624, 265, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.