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 374, 376, 62, 199 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 376, 62, 199 is 1
GCD(374, 376, 62, 199) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 376, 62, 199 is 1
GCD(374, 376, 62, 199) = 1
Given Input numbers are 374, 376, 62, 199
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
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 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Greatest Common Divisior
We found the divisors of 374, 376, 62, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 376, 62, 199 is 1.
Therefore, GCD of numbers 374, 376, 62, 199 is 1
Given Input Data is 374, 376, 62, 199
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 62 is 2 x 31
Prime Factorization of 199 is 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(374, 376) = 70312
GCD(374, 376) = ( 374 x 376 ) / 70312
GCD(374, 376) = 140624 / 70312
GCD(374, 376) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 62) = 62
GCD(2, 62) = ( 2 x 62 ) / 62
GCD(2, 62) = 124 / 62
GCD(2, 62) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 199) = 398
GCD(2, 199) = ( 2 x 199 ) / 398
GCD(2, 199) = 398 / 398
GCD(2, 199) = 1
GCD of 374, 376, 62, 199 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 376, 62, 199?
GCD of 374, 376, 62, 199 is 1
2. Where do I get the detailed procedure to find GCD of 374, 376, 62, 199?
You can find a detailed procedure to find GCD of 374, 376, 62, 199 on our page.
3. How to find GCD of 374, 376, 62, 199 on a calculator?
You can find the GCD of 374, 376, 62, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.