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 22, 670, 276, 520 i.e. 2 largest integer that divides all the numbers equally.
GCD of 22, 670, 276, 520 is 2
GCD(22, 670, 276, 520) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 670, 276, 520 is 2
GCD(22, 670, 276, 520) = 2
Given Input numbers are 22, 670, 276, 520
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 22, 670, 276, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 670, 276, 520 is 2.
Therefore, GCD of numbers 22, 670, 276, 520 is 2
Given Input Data is 22, 670, 276, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
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(22, 670) = 7370
GCD(22, 670) = ( 22 x 670 ) / 7370
GCD(22, 670) = 14740 / 7370
GCD(22, 670) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 276) = 276
GCD(2, 276) = ( 2 x 276 ) / 276
GCD(2, 276) = 552 / 276
GCD(2, 276) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 520) = 520
GCD(2, 520) = ( 2 x 520 ) / 520
GCD(2, 520) = 1040 / 520
GCD(2, 520) = 2
GCD of 22, 670, 276, 520 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 670, 276, 520?
GCD of 22, 670, 276, 520 is 2
2. Where do I get the detailed procedure to find GCD of 22, 670, 276, 520?
You can find a detailed procedure to find GCD of 22, 670, 276, 520 on our page.
3. How to find GCD of 22, 670, 276, 520 on a calculator?
You can find the GCD of 22, 670, 276, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.