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, 440, 85, 681 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 440, 85, 681 is 1
GCD(756, 440, 85, 681) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 440, 85, 681 is 1
GCD(756, 440, 85, 681) = 1
Given Input numbers are 756, 440, 85, 681
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 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Greatest Common Divisior
We found the divisors of 756, 440, 85, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 440, 85, 681 is 1.
Therefore, GCD of numbers 756, 440, 85, 681 is 1
Given Input Data is 756, 440, 85, 681
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 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 85 is 5 x 17
Prime Factorization of 681 is 3 x 227
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, 440) = 83160
GCD(756, 440) = ( 756 x 440 ) / 83160
GCD(756, 440) = 332640 / 83160
GCD(756, 440) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 85) = 340
GCD(4, 85) = ( 4 x 85 ) / 340
GCD(4, 85) = 340 / 340
GCD(4, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 681) = 681
GCD(1, 681) = ( 1 x 681 ) / 681
GCD(1, 681) = 681 / 681
GCD(1, 681) = 1
GCD of 756, 440, 85, 681 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 440, 85, 681?
GCD of 756, 440, 85, 681 is 1
2. Where do I get the detailed procedure to find GCD of 756, 440, 85, 681?
You can find a detailed procedure to find GCD of 756, 440, 85, 681 on our page.
3. How to find GCD of 756, 440, 85, 681 on a calculator?
You can find the GCD of 756, 440, 85, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.