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 340, 552, 25, 316 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 552, 25, 316 is 1
GCD(340, 552, 25, 316) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 552, 25, 316 is 1
GCD(340, 552, 25, 316) = 1
Given Input numbers are 340, 552, 25, 316
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
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 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 340, 552, 25, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 552, 25, 316 is 1.
Therefore, GCD of numbers 340, 552, 25, 316 is 1
Given Input Data is 340, 552, 25, 316
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 25 is 5 x 5
Prime Factorization of 316 is 2 x 2 x 79
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(340, 552) = 46920
GCD(340, 552) = ( 340 x 552 ) / 46920
GCD(340, 552) = 187680 / 46920
GCD(340, 552) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 25) = 100
GCD(4, 25) = ( 4 x 25 ) / 100
GCD(4, 25) = 100 / 100
GCD(4, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
GCD of 340, 552, 25, 316 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 552, 25, 316?
GCD of 340, 552, 25, 316 is 1
2. Where do I get the detailed procedure to find GCD of 340, 552, 25, 316?
You can find a detailed procedure to find GCD of 340, 552, 25, 316 on our page.
3. How to find GCD of 340, 552, 25, 316 on a calculator?
You can find the GCD of 340, 552, 25, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.