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 77, 618, 741, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 618, 741, 240 is 1
GCD(77, 618, 741, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 618, 741, 240 is 1
GCD(77, 618, 741, 240) = 1
Given Input numbers are 77, 618, 741, 240
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 77, 618, 741, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 618, 741, 240 is 1.
Therefore, GCD of numbers 77, 618, 741, 240 is 1
Given Input Data is 77, 618, 741, 240
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
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(77, 618) = 47586
GCD(77, 618) = ( 77 x 618 ) / 47586
GCD(77, 618) = 47586 / 47586
GCD(77, 618) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 77, 618, 741, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 618, 741, 240?
GCD of 77, 618, 741, 240 is 1
2. Where do I get the detailed procedure to find GCD of 77, 618, 741, 240?
You can find a detailed procedure to find GCD of 77, 618, 741, 240 on our page.
3. How to find GCD of 77, 618, 741, 240 on a calculator?
You can find the GCD of 77, 618, 741, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.