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 114, 624, 977, 615 i.e. 1 largest integer that divides all the numbers equally.
GCD of 114, 624, 977, 615 is 1
GCD(114, 624, 977, 615) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 114, 624, 977, 615 is 1
GCD(114, 624, 977, 615) = 1
Given Input numbers are 114, 624, 977, 615
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
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 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Greatest Common Divisior
We found the divisors of 114, 624, 977, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 624, 977, 615 is 1.
Therefore, GCD of numbers 114, 624, 977, 615 is 1
Given Input Data is 114, 624, 977, 615
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 977 is 977
Prime Factorization of 615 is 3 x 5 x 41
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(114, 624) = 11856
GCD(114, 624) = ( 114 x 624 ) / 11856
GCD(114, 624) = 71136 / 11856
GCD(114, 624) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 977) = 5862
GCD(6, 977) = ( 6 x 977 ) / 5862
GCD(6, 977) = 5862 / 5862
GCD(6, 977) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 615
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 615) = 615
GCD(1, 615) = ( 1 x 615 ) / 615
GCD(1, 615) = 615 / 615
GCD(1, 615) = 1
GCD of 114, 624, 977, 615 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 114, 624, 977, 615?
GCD of 114, 624, 977, 615 is 1
2. Where do I get the detailed procedure to find GCD of 114, 624, 977, 615?
You can find a detailed procedure to find GCD of 114, 624, 977, 615 on our page.
3. How to find GCD of 114, 624, 977, 615 on a calculator?
You can find the GCD of 114, 624, 977, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.