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 112, 747, 67, 621 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 747, 67, 621 is 1
GCD(112, 747, 67, 621) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 747, 67, 621 is 1
GCD(112, 747, 67, 621) = 1
Given Input numbers are 112, 747, 67, 621
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Greatest Common Divisior
We found the divisors of 112, 747, 67, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 747, 67, 621 is 1.
Therefore, GCD of numbers 112, 747, 67, 621 is 1
Given Input Data is 112, 747, 67, 621
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 67 is 67
Prime Factorization of 621 is 3 x 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(112, 747) = 83664
GCD(112, 747) = ( 112 x 747 ) / 83664
GCD(112, 747) = 83664 / 83664
GCD(112, 747) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 621) = 621
GCD(1, 621) = ( 1 x 621 ) / 621
GCD(1, 621) = 621 / 621
GCD(1, 621) = 1
GCD of 112, 747, 67, 621 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 747, 67, 621?
GCD of 112, 747, 67, 621 is 1
2. Where do I get the detailed procedure to find GCD of 112, 747, 67, 621?
You can find a detailed procedure to find GCD of 112, 747, 67, 621 on our page.
3. How to find GCD of 112, 747, 67, 621 on a calculator?
You can find the GCD of 112, 747, 67, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.