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 87, 988, 943, 686 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 988, 943, 686 is 1
GCD(87, 988, 943, 686) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 988, 943, 686 is 1
GCD(87, 988, 943, 686) = 1
Given Input numbers are 87, 988, 943, 686
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Greatest Common Divisior
We found the divisors of 87, 988, 943, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 988, 943, 686 is 1.
Therefore, GCD of numbers 87, 988, 943, 686 is 1
Given Input Data is 87, 988, 943, 686
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 943 is 23 x 41
Prime Factorization of 686 is 2 x 7 x 7 x 7
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(87, 988) = 85956
GCD(87, 988) = ( 87 x 988 ) / 85956
GCD(87, 988) = 85956 / 85956
GCD(87, 988) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 943
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 943) = 943
GCD(1, 943) = ( 1 x 943 ) / 943
GCD(1, 943) = 943 / 943
GCD(1, 943) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 686) = 686
GCD(1, 686) = ( 1 x 686 ) / 686
GCD(1, 686) = 686 / 686
GCD(1, 686) = 1
GCD of 87, 988, 943, 686 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 988, 943, 686?
GCD of 87, 988, 943, 686 is 1
2. Where do I get the detailed procedure to find GCD of 87, 988, 943, 686?
You can find a detailed procedure to find GCD of 87, 988, 943, 686 on our page.
3. How to find GCD of 87, 988, 943, 686 on a calculator?
You can find the GCD of 87, 988, 943, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.