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 987, 310, 134, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 310, 134, 702 is 1
GCD(987, 310, 134, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 310, 134, 702 is 1
GCD(987, 310, 134, 702) = 1
Given Input numbers are 987, 310, 134, 702
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
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 987, 310, 134, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 310, 134, 702 is 1.
Therefore, GCD of numbers 987, 310, 134, 702 is 1
Given Input Data is 987, 310, 134, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 134 is 2 x 67
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(987, 310) = 305970
GCD(987, 310) = ( 987 x 310 ) / 305970
GCD(987, 310) = 305970 / 305970
GCD(987, 310) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 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 987, 310, 134, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 310, 134, 702?
GCD of 987, 310, 134, 702 is 1
2. Where do I get the detailed procedure to find GCD of 987, 310, 134, 702?
You can find a detailed procedure to find GCD of 987, 310, 134, 702 on our page.
3. How to find GCD of 987, 310, 134, 702 on a calculator?
You can find the GCD of 987, 310, 134, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.