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 107, 552, 61, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 552, 61, 730 is 1
GCD(107, 552, 61, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 552, 61, 730 is 1
GCD(107, 552, 61, 730) = 1
Given Input numbers are 107, 552, 61, 730
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 107, 552, 61, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 552, 61, 730 is 1.
Therefore, GCD of numbers 107, 552, 61, 730 is 1
Given Input Data is 107, 552, 61, 730
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 61 is 61
Prime Factorization of 730 is 2 x 5 x 73
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(107, 552) = 59064
GCD(107, 552) = ( 107 x 552 ) / 59064
GCD(107, 552) = 59064 / 59064
GCD(107, 552) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
GCD of 107, 552, 61, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 552, 61, 730?
GCD of 107, 552, 61, 730 is 1
2. Where do I get the detailed procedure to find GCD of 107, 552, 61, 730?
You can find a detailed procedure to find GCD of 107, 552, 61, 730 on our page.
3. How to find GCD of 107, 552, 61, 730 on a calculator?
You can find the GCD of 107, 552, 61, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.