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 375, 561, 277, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 375, 561, 277, 392 is 1
GCD(375, 561, 277, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 561, 277, 392 is 1
GCD(375, 561, 277, 392) = 1
Given Input numbers are 375, 561, 277, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 375, 561, 277, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 561, 277, 392 is 1.
Therefore, GCD of numbers 375, 561, 277, 392 is 1
Given Input Data is 375, 561, 277, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 277 is 277
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(375, 561) = 70125
GCD(375, 561) = ( 375 x 561 ) / 70125
GCD(375, 561) = 210375 / 70125
GCD(375, 561) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 277) = 831
GCD(3, 277) = ( 3 x 277 ) / 831
GCD(3, 277) = 831 / 831
GCD(3, 277) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 375, 561, 277, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 561, 277, 392?
GCD of 375, 561, 277, 392 is 1
2. Where do I get the detailed procedure to find GCD of 375, 561, 277, 392?
You can find a detailed procedure to find GCD of 375, 561, 277, 392 on our page.
3. How to find GCD of 375, 561, 277, 392 on a calculator?
You can find the GCD of 375, 561, 277, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.