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 759, 981, 77, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 759, 981, 77, 702 is 1
GCD(759, 981, 77, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 981, 77, 702 is 1
GCD(759, 981, 77, 702) = 1
Given Input numbers are 759, 981, 77, 702
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 759, 981, 77, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 981, 77, 702 is 1.
Therefore, GCD of numbers 759, 981, 77, 702 is 1
Given Input Data is 759, 981, 77, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 77 is 7 x 11
Prime Factorization of 702 is 2 x 3 x 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(759, 981) = 248193
GCD(759, 981) = ( 759 x 981 ) / 248193
GCD(759, 981) = 744579 / 248193
GCD(759, 981) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 77) = 231
GCD(3, 77) = ( 3 x 77 ) / 231
GCD(3, 77) = 231 / 231
GCD(3, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 759, 981, 77, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 759, 981, 77, 702?
GCD of 759, 981, 77, 702 is 1
2. Where do I get the detailed procedure to find GCD of 759, 981, 77, 702?
You can find a detailed procedure to find GCD of 759, 981, 77, 702 on our page.
3. How to find GCD of 759, 981, 77, 702 on a calculator?
You can find the GCD of 759, 981, 77, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.