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 560, 130, 564, 278 i.e. 2 largest integer that divides all the numbers equally.
GCD of 560, 130, 564, 278 is 2
GCD(560, 130, 564, 278) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 560, 130, 564, 278 is 2
GCD(560, 130, 564, 278) = 2
Given Input numbers are 560, 130, 564, 278
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Greatest Common Divisior
We found the divisors of 560, 130, 564, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 130, 564, 278 is 2.
Therefore, GCD of numbers 560, 130, 564, 278 is 2
Given Input Data is 560, 130, 564, 278
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 278 is 2 x 139
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(560, 130) = 7280
GCD(560, 130) = ( 560 x 130 ) / 7280
GCD(560, 130) = 72800 / 7280
GCD(560, 130) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 564) = 2820
GCD(10, 564) = ( 10 x 564 ) / 2820
GCD(10, 564) = 5640 / 2820
GCD(10, 564) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 278) = 278
GCD(2, 278) = ( 2 x 278 ) / 278
GCD(2, 278) = 556 / 278
GCD(2, 278) = 2
GCD of 560, 130, 564, 278 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 560, 130, 564, 278?
GCD of 560, 130, 564, 278 is 2
2. Where do I get the detailed procedure to find GCD of 560, 130, 564, 278?
You can find a detailed procedure to find GCD of 560, 130, 564, 278 on our page.
3. How to find GCD of 560, 130, 564, 278 on a calculator?
You can find the GCD of 560, 130, 564, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.