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 487, 564, 740, 134 i.e. 1 largest integer that divides all the numbers equally.
GCD of 487, 564, 740, 134 is 1
GCD(487, 564, 740, 134) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 487, 564, 740, 134 is 1
GCD(487, 564, 740, 134) = 1
Given Input numbers are 487, 564, 740, 134
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
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 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Greatest Common Divisior
We found the divisors of 487, 564, 740, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 564, 740, 134 is 1.
Therefore, GCD of numbers 487, 564, 740, 134 is 1
Given Input Data is 487, 564, 740, 134
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 487 is 487
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 134 is 2 x 67
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(487, 564) = 274668
GCD(487, 564) = ( 487 x 564 ) / 274668
GCD(487, 564) = 274668 / 274668
GCD(487, 564) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
GCD(1, 740) = 740 / 740
GCD(1, 740) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
GCD of 487, 564, 740, 134 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 487, 564, 740, 134?
GCD of 487, 564, 740, 134 is 1
2. Where do I get the detailed procedure to find GCD of 487, 564, 740, 134?
You can find a detailed procedure to find GCD of 487, 564, 740, 134 on our page.
3. How to find GCD of 487, 564, 740, 134 on a calculator?
You can find the GCD of 487, 564, 740, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.