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, 918, 763, 852 i.e. 1 largest integer that divides all the numbers equally.
GCD of 754, 918, 763, 852 is 1
GCD(754, 918, 763, 852) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 754, 918, 763, 852 is 1
GCD(754, 918, 763, 852) = 1
Given Input numbers are 754, 918, 763, 852
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 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Greatest Common Divisior
We found the divisors of 754, 918, 763, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 918, 763, 852 is 1.
Therefore, GCD of numbers 754, 918, 763, 852 is 1
Given Input Data is 754, 918, 763, 852
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 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 763 is 7 x 109
Prime Factorization of 852 is 2 x 2 x 3 x 71
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, 918) = 346086
GCD(754, 918) = ( 754 x 918 ) / 346086
GCD(754, 918) = 692172 / 346086
GCD(754, 918) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 763) = 1526
GCD(2, 763) = ( 2 x 763 ) / 1526
GCD(2, 763) = 1526 / 1526
GCD(2, 763) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
GCD of 754, 918, 763, 852 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 754, 918, 763, 852?
GCD of 754, 918, 763, 852 is 1
2. Where do I get the detailed procedure to find GCD of 754, 918, 763, 852?
You can find a detailed procedure to find GCD of 754, 918, 763, 852 on our page.
3. How to find GCD of 754, 918, 763, 852 on a calculator?
You can find the GCD of 754, 918, 763, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.