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 376, 761, 15, 398 i.e. 1 largest integer that divides all the numbers equally.
GCD of 376, 761, 15, 398 is 1
GCD(376, 761, 15, 398) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 376, 761, 15, 398 is 1
GCD(376, 761, 15, 398) = 1
Given Input numbers are 376, 761, 15, 398
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 376, 761, 15, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 761, 15, 398 is 1.
Therefore, GCD of numbers 376, 761, 15, 398 is 1
Given Input Data is 376, 761, 15, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 761 is 761
Prime Factorization of 15 is 3 x 5
Prime Factorization of 398 is 2 x 199
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(376, 761) = 286136
GCD(376, 761) = ( 376 x 761 ) / 286136
GCD(376, 761) = 286136 / 286136
GCD(376, 761) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
GCD of 376, 761, 15, 398 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 376, 761, 15, 398?
GCD of 376, 761, 15, 398 is 1
2. Where do I get the detailed procedure to find GCD of 376, 761, 15, 398?
You can find a detailed procedure to find GCD of 376, 761, 15, 398 on our page.
3. How to find GCD of 376, 761, 15, 398 on a calculator?
You can find the GCD of 376, 761, 15, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.