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 874, 666, 696, 348 i.e. 2 largest integer that divides all the numbers equally.
GCD of 874, 666, 696, 348 is 2
GCD(874, 666, 696, 348) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 666, 696, 348 is 2
GCD(874, 666, 696, 348) = 2
Given Input numbers are 874, 666, 696, 348
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Greatest Common Divisior
We found the divisors of 874, 666, 696, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 666, 696, 348 is 2.
Therefore, GCD of numbers 874, 666, 696, 348 is 2
Given Input Data is 874, 666, 696, 348
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 348 is 2 x 2 x 3 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(874, 666) = 291042
GCD(874, 666) = ( 874 x 666 ) / 291042
GCD(874, 666) = 582084 / 291042
GCD(874, 666) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 696) = 696
GCD(2, 696) = ( 2 x 696 ) / 696
GCD(2, 696) = 1392 / 696
GCD(2, 696) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 348) = 348
GCD(2, 348) = ( 2 x 348 ) / 348
GCD(2, 348) = 696 / 348
GCD(2, 348) = 2
GCD of 874, 666, 696, 348 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 666, 696, 348?
GCD of 874, 666, 696, 348 is 2
2. Where do I get the detailed procedure to find GCD of 874, 666, 696, 348?
You can find a detailed procedure to find GCD of 874, 666, 696, 348 on our page.
3. How to find GCD of 874, 666, 696, 348 on a calculator?
You can find the GCD of 874, 666, 696, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.