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 66, 856, 739, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 856, 739, 374 is 1
GCD(66, 856, 739, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 856, 739, 374 is 1
GCD(66, 856, 739, 374) = 1
Given Input numbers are 66, 856, 739, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 66, 856, 739, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 856, 739, 374 is 1.
Therefore, GCD of numbers 66, 856, 739, 374 is 1
Given Input Data is 66, 856, 739, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 739 is 739
Prime Factorization of 374 is 2 x 11 x 17
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(66, 856) = 28248
GCD(66, 856) = ( 66 x 856 ) / 28248
GCD(66, 856) = 56496 / 28248
GCD(66, 856) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 739) = 1478
GCD(2, 739) = ( 2 x 739 ) / 1478
GCD(2, 739) = 1478 / 1478
GCD(2, 739) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 66, 856, 739, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 856, 739, 374?
GCD of 66, 856, 739, 374 is 1
2. Where do I get the detailed procedure to find GCD of 66, 856, 739, 374?
You can find a detailed procedure to find GCD of 66, 856, 739, 374 on our page.
3. How to find GCD of 66, 856, 739, 374 on a calculator?
You can find the GCD of 66, 856, 739, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.