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 688, 737, 69, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 688, 737, 69, 987 is 1
GCD(688, 737, 69, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 737, 69, 987 is 1
GCD(688, 737, 69, 987) = 1
Given Input numbers are 688, 737, 69, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 688, 737, 69, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 737, 69, 987 is 1.
Therefore, GCD of numbers 688, 737, 69, 987 is 1
Given Input Data is 688, 737, 69, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 737 is 11 x 67
Prime Factorization of 69 is 3 x 23
Prime Factorization of 987 is 3 x 7 x 47
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(688, 737) = 507056
GCD(688, 737) = ( 688 x 737 ) / 507056
GCD(688, 737) = 507056 / 507056
GCD(688, 737) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 688, 737, 69, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 688, 737, 69, 987?
GCD of 688, 737, 69, 987 is 1
2. Where do I get the detailed procedure to find GCD of 688, 737, 69, 987?
You can find a detailed procedure to find GCD of 688, 737, 69, 987 on our page.
3. How to find GCD of 688, 737, 69, 987 on a calculator?
You can find the GCD of 688, 737, 69, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.