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 708, 252, 77, 786 i.e. 1 largest integer that divides all the numbers equally.
GCD of 708, 252, 77, 786 is 1
GCD(708, 252, 77, 786) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 252, 77, 786 is 1
GCD(708, 252, 77, 786) = 1
Given Input numbers are 708, 252, 77, 786
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Greatest Common Divisior
We found the divisors of 708, 252, 77, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 252, 77, 786 is 1.
Therefore, GCD of numbers 708, 252, 77, 786 is 1
Given Input Data is 708, 252, 77, 786
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 77 is 7 x 11
Prime Factorization of 786 is 2 x 3 x 131
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(708, 252) = 14868
GCD(708, 252) = ( 708 x 252 ) / 14868
GCD(708, 252) = 178416 / 14868
GCD(708, 252) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 77) = 924
GCD(12, 77) = ( 12 x 77 ) / 924
GCD(12, 77) = 924 / 924
GCD(12, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 786
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 786) = 786
GCD(1, 786) = ( 1 x 786 ) / 786
GCD(1, 786) = 786 / 786
GCD(1, 786) = 1
GCD of 708, 252, 77, 786 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 252, 77, 786?
GCD of 708, 252, 77, 786 is 1
2. Where do I get the detailed procedure to find GCD of 708, 252, 77, 786?
You can find a detailed procedure to find GCD of 708, 252, 77, 786 on our page.
3. How to find GCD of 708, 252, 77, 786 on a calculator?
You can find the GCD of 708, 252, 77, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.