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 137, 675, 28, 375 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 675, 28, 375 is 1
GCD(137, 675, 28, 375) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 675, 28, 375 is 1
GCD(137, 675, 28, 375) = 1
Given Input numbers are 137, 675, 28, 375
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 137, 675, 28, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 675, 28, 375 is 1.
Therefore, GCD of numbers 137, 675, 28, 375 is 1
Given Input Data is 137, 675, 28, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 375 is 3 x 5 x 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(137, 675) = 92475
GCD(137, 675) = ( 137 x 675 ) / 92475
GCD(137, 675) = 92475 / 92475
GCD(137, 675) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
GCD(1, 375) = 375 / 375
GCD(1, 375) = 1
GCD of 137, 675, 28, 375 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 675, 28, 375?
GCD of 137, 675, 28, 375 is 1
2. Where do I get the detailed procedure to find GCD of 137, 675, 28, 375?
You can find a detailed procedure to find GCD of 137, 675, 28, 375 on our page.
3. How to find GCD of 137, 675, 28, 375 on a calculator?
You can find the GCD of 137, 675, 28, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.