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 445, 278, 32, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 445, 278, 32, 130 is 1
GCD(445, 278, 32, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 445, 278, 32, 130 is 1
GCD(445, 278, 32, 130) = 1
Given Input numbers are 445, 278, 32, 130
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 445, 278, 32, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 278, 32, 130 is 1.
Therefore, GCD of numbers 445, 278, 32, 130 is 1
Given Input Data is 445, 278, 32, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 445 is 5 x 89
Prime Factorization of 278 is 2 x 139
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 130 is 2 x 5 x 13
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(445, 278) = 123710
GCD(445, 278) = ( 445 x 278 ) / 123710
GCD(445, 278) = 123710 / 123710
GCD(445, 278) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 445, 278, 32, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 445, 278, 32, 130?
GCD of 445, 278, 32, 130 is 1
2. Where do I get the detailed procedure to find GCD of 445, 278, 32, 130?
You can find a detailed procedure to find GCD of 445, 278, 32, 130 on our page.
3. How to find GCD of 445, 278, 32, 130 on a calculator?
You can find the GCD of 445, 278, 32, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.