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 756, 102, 87, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 102, 87, 103 is 1
GCD(756, 102, 87, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 102, 87, 103 is 1
GCD(756, 102, 87, 103) = 1
Given Input numbers are 756, 102, 87, 103
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 756, 102, 87, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 102, 87, 103 is 1.
Therefore, GCD of numbers 756, 102, 87, 103 is 1
Given Input Data is 756, 102, 87, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 87 is 3 x 29
Prime Factorization of 103 is 103
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(756, 102) = 12852
GCD(756, 102) = ( 756 x 102 ) / 12852
GCD(756, 102) = 77112 / 12852
GCD(756, 102) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 87) = 174
GCD(6, 87) = ( 6 x 87 ) / 174
GCD(6, 87) = 522 / 174
GCD(6, 87) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 103) = 309
GCD(3, 103) = ( 3 x 103 ) / 309
GCD(3, 103) = 309 / 309
GCD(3, 103) = 1
GCD of 756, 102, 87, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 102, 87, 103?
GCD of 756, 102, 87, 103 is 1
2. Where do I get the detailed procedure to find GCD of 756, 102, 87, 103?
You can find a detailed procedure to find GCD of 756, 102, 87, 103 on our page.
3. How to find GCD of 756, 102, 87, 103 on a calculator?
You can find the GCD of 756, 102, 87, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.