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, 614, 77, 875 i.e. 1 largest integer that divides all the numbers equally.
GCD of 376, 614, 77, 875 is 1
GCD(376, 614, 77, 875) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 376, 614, 77, 875 is 1
GCD(376, 614, 77, 875) = 1
Given Input numbers are 376, 614, 77, 875
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 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Greatest Common Divisior
We found the divisors of 376, 614, 77, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 614, 77, 875 is 1.
Therefore, GCD of numbers 376, 614, 77, 875 is 1
Given Input Data is 376, 614, 77, 875
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 614 is 2 x 307
Prime Factorization of 77 is 7 x 11
Prime Factorization of 875 is 5 x 5 x 5 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(376, 614) = 115432
GCD(376, 614) = ( 376 x 614 ) / 115432
GCD(376, 614) = 230864 / 115432
GCD(376, 614) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 875) = 875
GCD(1, 875) = ( 1 x 875 ) / 875
GCD(1, 875) = 875 / 875
GCD(1, 875) = 1
GCD of 376, 614, 77, 875 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 376, 614, 77, 875?
GCD of 376, 614, 77, 875 is 1
2. Where do I get the detailed procedure to find GCD of 376, 614, 77, 875?
You can find a detailed procedure to find GCD of 376, 614, 77, 875 on our page.
3. How to find GCD of 376, 614, 77, 875 on a calculator?
You can find the GCD of 376, 614, 77, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.