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 160, 942, 25 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 942, 25 is 1
GCD(160, 942, 25) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 942, 25 is 1
GCD(160, 942, 25) = 1
Given Input numbers are 160, 942, 25
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Greatest Common Divisior
We found the divisors of 160, 942, 25 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 942, 25 is 1.
Therefore, GCD of numbers 160, 942, 25 is 1
Given Input Data is 160, 942, 25
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 25 is 5 x 5
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(160, 942) = 75360
GCD(160, 942) = ( 160 x 942 ) / 75360
GCD(160, 942) = 150720 / 75360
GCD(160, 942) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 25) = 50
GCD(2, 25) = ( 2 x 25 ) / 50
GCD(2, 25) = 50 / 50
GCD(2, 25) = 1
GCD of 160, 942, 25 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 942, 25?
GCD of 160, 942, 25 is 1
2. Where do I get the detailed procedure to find GCD of 160, 942, 25?
You can find a detailed procedure to find GCD of 160, 942, 25 on our page.
3. How to find GCD of 160, 942, 25 on a calculator?
You can find the GCD of 160, 942, 25 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.