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, 278, 383, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 375, 278, 383, 588 is 1
GCD(375, 278, 383, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 278, 383, 588 is 1
GCD(375, 278, 383, 588) = 1
Given Input numbers are 375, 278, 383, 588
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 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 375, 278, 383, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 278, 383, 588 is 1.
Therefore, GCD of numbers 375, 278, 383, 588 is 1
Given Input Data is 375, 278, 383, 588
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 278 is 2 x 139
Prime Factorization of 383 is 383
Prime Factorization of 588 is 2 x 2 x 3 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, 278) = 104250
GCD(375, 278) = ( 375 x 278 ) / 104250
GCD(375, 278) = 104250 / 104250
GCD(375, 278) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 375, 278, 383, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 278, 383, 588?
GCD of 375, 278, 383, 588 is 1
2. Where do I get the detailed procedure to find GCD of 375, 278, 383, 588?
You can find a detailed procedure to find GCD of 375, 278, 383, 588 on our page.
3. How to find GCD of 375, 278, 383, 588 on a calculator?
You can find the GCD of 375, 278, 383, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.