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 651, 765, 676, 688 i.e. 1 largest integer that divides all the numbers equally.
GCD of 651, 765, 676, 688 is 1
GCD(651, 765, 676, 688) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 651, 765, 676, 688 is 1
GCD(651, 765, 676, 688) = 1
Given Input numbers are 651, 765, 676, 688
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
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 651, 765, 676, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 765, 676, 688 is 1.
Therefore, GCD of numbers 651, 765, 676, 688 is 1
Given Input Data is 651, 765, 676, 688
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 676 is 2 x 2 x 13 x 13
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(651, 765) = 166005
GCD(651, 765) = ( 651 x 765 ) / 166005
GCD(651, 765) = 498015 / 166005
GCD(651, 765) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 676) = 2028
GCD(3, 676) = ( 3 x 676 ) / 2028
GCD(3, 676) = 2028 / 2028
GCD(3, 676) = 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 651, 765, 676, 688 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 651, 765, 676, 688?
GCD of 651, 765, 676, 688 is 1
2. Where do I get the detailed procedure to find GCD of 651, 765, 676, 688?
You can find a detailed procedure to find GCD of 651, 765, 676, 688 on our page.
3. How to find GCD of 651, 765, 676, 688 on a calculator?
You can find the GCD of 651, 765, 676, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.