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 624, 762, 104, 207 i.e. 1 largest integer that divides all the numbers equally.
GCD of 624, 762, 104, 207 is 1
GCD(624, 762, 104, 207) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 624, 762, 104, 207 is 1
GCD(624, 762, 104, 207) = 1
Given Input numbers are 624, 762, 104, 207
To find the GCD of numbers using factoring list out all the divisors of each number
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 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Greatest Common Divisior
We found the divisors of 624, 762, 104, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 762, 104, 207 is 1.
Therefore, GCD of numbers 624, 762, 104, 207 is 1
Given Input Data is 624, 762, 104, 207
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 207 is 3 x 3 x 23
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(624, 762) = 79248
GCD(624, 762) = ( 624 x 762 ) / 79248
GCD(624, 762) = 475488 / 79248
GCD(624, 762) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 104) = 312
GCD(6, 104) = ( 6 x 104 ) / 312
GCD(6, 104) = 624 / 312
GCD(6, 104) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 207) = 414
GCD(2, 207) = ( 2 x 207 ) / 414
GCD(2, 207) = 414 / 414
GCD(2, 207) = 1
GCD of 624, 762, 104, 207 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 624, 762, 104, 207?
GCD of 624, 762, 104, 207 is 1
2. Where do I get the detailed procedure to find GCD of 624, 762, 104, 207?
You can find a detailed procedure to find GCD of 624, 762, 104, 207 on our page.
3. How to find GCD of 624, 762, 104, 207 on a calculator?
You can find the GCD of 624, 762, 104, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.