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 552, 666, 76, 894 i.e. 2 largest integer that divides all the numbers equally.
GCD of 552, 666, 76, 894 is 2
GCD(552, 666, 76, 894) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 666, 76, 894 is 2
GCD(552, 666, 76, 894) = 2
Given Input numbers are 552, 666, 76, 894
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
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 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 552, 666, 76, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 666, 76, 894 is 2.
Therefore, GCD of numbers 552, 666, 76, 894 is 2
Given Input Data is 552, 666, 76, 894
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 894 is 2 x 3 x 149
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(552, 666) = 61272
GCD(552, 666) = ( 552 x 666 ) / 61272
GCD(552, 666) = 367632 / 61272
GCD(552, 666) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 76) = 228
GCD(6, 76) = ( 6 x 76 ) / 228
GCD(6, 76) = 456 / 228
GCD(6, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 894) = 894
GCD(2, 894) = ( 2 x 894 ) / 894
GCD(2, 894) = 1788 / 894
GCD(2, 894) = 2
GCD of 552, 666, 76, 894 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 666, 76, 894?
GCD of 552, 666, 76, 894 is 2
2. Where do I get the detailed procedure to find GCD of 552, 666, 76, 894?
You can find a detailed procedure to find GCD of 552, 666, 76, 894 on our page.
3. How to find GCD of 552, 666, 76, 894 on a calculator?
You can find the GCD of 552, 666, 76, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.