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, 926, 141, 117 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 926, 141, 117 is 1
GCD(756, 926, 141, 117) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 926, 141, 117 is 1
GCD(756, 926, 141, 117) = 1
Given Input numbers are 756, 926, 141, 117
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 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 756, 926, 141, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 926, 141, 117 is 1.
Therefore, GCD of numbers 756, 926, 141, 117 is 1
Given Input Data is 756, 926, 141, 117
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 926 is 2 x 463
Prime Factorization of 141 is 3 x 47
Prime Factorization of 117 is 3 x 3 x 13
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, 926) = 350028
GCD(756, 926) = ( 756 x 926 ) / 350028
GCD(756, 926) = 700056 / 350028
GCD(756, 926) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 141) = 282
GCD(2, 141) = ( 2 x 141 ) / 282
GCD(2, 141) = 282 / 282
GCD(2, 141) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
GCD of 756, 926, 141, 117 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 926, 141, 117?
GCD of 756, 926, 141, 117 is 1
2. Where do I get the detailed procedure to find GCD of 756, 926, 141, 117?
You can find a detailed procedure to find GCD of 756, 926, 141, 117 on our page.
3. How to find GCD of 756, 926, 141, 117 on a calculator?
You can find the GCD of 756, 926, 141, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.