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 707, 624, 77 i.e. 1 largest integer that divides all the numbers equally.
GCD of 707, 624, 77 is 1
GCD(707, 624, 77) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 707, 624, 77 is 1
GCD(707, 624, 77) = 1
Given Input numbers are 707, 624, 77
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Greatest Common Divisior
We found the divisors of 707, 624, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 624, 77 is 1.
Therefore, GCD of numbers 707, 624, 77 is 1
Given Input Data is 707, 624, 77
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 707 is 7 x 101
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 77 is 7 x 11
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(707, 624) = 441168
GCD(707, 624) = ( 707 x 624 ) / 441168
GCD(707, 624) = 441168 / 441168
GCD(707, 624) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
GCD of 707, 624, 77 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 707, 624, 77?
GCD of 707, 624, 77 is 1
2. Where do I get the detailed procedure to find GCD of 707, 624, 77?
You can find a detailed procedure to find GCD of 707, 624, 77 on our page.
3. How to find GCD of 707, 624, 77 on a calculator?
You can find the GCD of 707, 624, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.