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 712, 776, 247, 688 i.e. 1 largest integer that divides all the numbers equally.
GCD of 712, 776, 247, 688 is 1
GCD(712, 776, 247, 688) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 776, 247, 688 is 1
GCD(712, 776, 247, 688) = 1
Given Input numbers are 712, 776, 247, 688
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
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
Greatest Common Divisior
We found the divisors of 712, 776, 247, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 776, 247, 688 is 1.
Therefore, GCD of numbers 712, 776, 247, 688 is 1
Given Input Data is 712, 776, 247, 688
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 247 is 13 x 19
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
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(712, 776) = 69064
GCD(712, 776) = ( 712 x 776 ) / 69064
GCD(712, 776) = 552512 / 69064
GCD(712, 776) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 247
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 247) = 1976
GCD(8, 247) = ( 8 x 247 ) / 1976
GCD(8, 247) = 1976 / 1976
GCD(8, 247) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
GCD of 712, 776, 247, 688 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 712, 776, 247, 688?
GCD of 712, 776, 247, 688 is 1
2. Where do I get the detailed procedure to find GCD of 712, 776, 247, 688?
You can find a detailed procedure to find GCD of 712, 776, 247, 688 on our page.
3. How to find GCD of 712, 776, 247, 688 on a calculator?
You can find the GCD of 712, 776, 247, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.