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 377, 184, 760, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 377, 184, 760, 874 is 1
GCD(377, 184, 760, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 377, 184, 760, 874 is 1
GCD(377, 184, 760, 874) = 1
Given Input numbers are 377, 184, 760, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 377, 184, 760, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 377, 184, 760, 874 is 1.
Therefore, GCD of numbers 377, 184, 760, 874 is 1
Given Input Data is 377, 184, 760, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 377 is 13 x 29
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 874 is 2 x 19 x 23
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(377, 184) = 69368
GCD(377, 184) = ( 377 x 184 ) / 69368
GCD(377, 184) = 69368 / 69368
GCD(377, 184) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 377, 184, 760, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 377, 184, 760, 874?
GCD of 377, 184, 760, 874 is 1
2. Where do I get the detailed procedure to find GCD of 377, 184, 760, 874?
You can find a detailed procedure to find GCD of 377, 184, 760, 874 on our page.
3. How to find GCD of 377, 184, 760, 874 on a calculator?
You can find the GCD of 377, 184, 760, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.