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 754, 868, 15, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 754, 868, 15, 564 is 1
GCD(754, 868, 15, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 754, 868, 15, 564 is 1
GCD(754, 868, 15, 564) = 1
Given Input numbers are 754, 868, 15, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 754, 868, 15, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 868, 15, 564 is 1.
Therefore, GCD of numbers 754, 868, 15, 564 is 1
Given Input Data is 754, 868, 15, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 15 is 3 x 5
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(754, 868) = 327236
GCD(754, 868) = ( 754 x 868 ) / 327236
GCD(754, 868) = 654472 / 327236
GCD(754, 868) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 15) = 30
GCD(2, 15) = ( 2 x 15 ) / 30
GCD(2, 15) = 30 / 30
GCD(2, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 754, 868, 15, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 754, 868, 15, 564?
GCD of 754, 868, 15, 564 is 1
2. Where do I get the detailed procedure to find GCD of 754, 868, 15, 564?
You can find a detailed procedure to find GCD of 754, 868, 15, 564 on our page.
3. How to find GCD of 754, 868, 15, 564 on a calculator?
You can find the GCD of 754, 868, 15, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.