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 143, 260, 635, 618 i.e. 1 largest integer that divides all the numbers equally.
GCD of 143, 260, 635, 618 is 1
GCD(143, 260, 635, 618) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 143, 260, 635, 618 is 1
GCD(143, 260, 635, 618) = 1
Given Input numbers are 143, 260, 635, 618
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Greatest Common Divisior
We found the divisors of 143, 260, 635, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 260, 635, 618 is 1.
Therefore, GCD of numbers 143, 260, 635, 618 is 1
Given Input Data is 143, 260, 635, 618
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 143 is 11 x 13
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 635 is 5 x 127
Prime Factorization of 618 is 2 x 3 x 103
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(143, 260) = 2860
GCD(143, 260) = ( 143 x 260 ) / 2860
GCD(143, 260) = 37180 / 2860
GCD(143, 260) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 635) = 8255
GCD(13, 635) = ( 13 x 635 ) / 8255
GCD(13, 635) = 8255 / 8255
GCD(13, 635) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 618
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 618) = 618
GCD(1, 618) = ( 1 x 618 ) / 618
GCD(1, 618) = 618 / 618
GCD(1, 618) = 1
GCD of 143, 260, 635, 618 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 143, 260, 635, 618?
GCD of 143, 260, 635, 618 is 1
2. Where do I get the detailed procedure to find GCD of 143, 260, 635, 618?
You can find a detailed procedure to find GCD of 143, 260, 635, 618 on our page.
3. How to find GCD of 143, 260, 635, 618 on a calculator?
You can find the GCD of 143, 260, 635, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.