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, 140, 277, 215 i.e. 1 largest integer that divides all the numbers equally.
GCD of 624, 140, 277, 215 is 1
GCD(624, 140, 277, 215) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 624, 140, 277, 215 is 1
GCD(624, 140, 277, 215) = 1
Given Input numbers are 624, 140, 277, 215
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 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Greatest Common Divisior
We found the divisors of 624, 140, 277, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 140, 277, 215 is 1.
Therefore, GCD of numbers 624, 140, 277, 215 is 1
Given Input Data is 624, 140, 277, 215
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 140 is 2 x 2 x 5 x 7
Prime Factorization of 277 is 277
Prime Factorization of 215 is 5 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(624, 140) = 21840
GCD(624, 140) = ( 624 x 140 ) / 21840
GCD(624, 140) = 87360 / 21840
GCD(624, 140) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 277) = 1108
GCD(4, 277) = ( 4 x 277 ) / 1108
GCD(4, 277) = 1108 / 1108
GCD(4, 277) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 215) = 215
GCD(1, 215) = ( 1 x 215 ) / 215
GCD(1, 215) = 215 / 215
GCD(1, 215) = 1
GCD of 624, 140, 277, 215 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 624, 140, 277, 215?
GCD of 624, 140, 277, 215 is 1
2. Where do I get the detailed procedure to find GCD of 624, 140, 277, 215?
You can find a detailed procedure to find GCD of 624, 140, 277, 215 on our page.
3. How to find GCD of 624, 140, 277, 215 on a calculator?
You can find the GCD of 624, 140, 277, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.