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, 237, 520, 249 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 237, 520, 249 is 1
GCD(77, 237, 520, 249) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 237, 520, 249 is 1
GCD(77, 237, 520, 249) = 1
Given Input numbers are 77, 237, 520, 249
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 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
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
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Greatest Common Divisior
We found the divisors of 77, 237, 520, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 237, 520, 249 is 1.
Therefore, GCD of numbers 77, 237, 520, 249 is 1
Given Input Data is 77, 237, 520, 249
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 237 is 3 x 79
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 249 is 3 x 83
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, 237) = 18249
GCD(77, 237) = ( 77 x 237 ) / 18249
GCD(77, 237) = 18249 / 18249
GCD(77, 237) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
GCD(1, 249) = 249 / 249
GCD(1, 249) = 1
GCD of 77, 237, 520, 249 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 237, 520, 249?
GCD of 77, 237, 520, 249 is 1
2. Where do I get the detailed procedure to find GCD of 77, 237, 520, 249?
You can find a detailed procedure to find GCD of 77, 237, 520, 249 on our page.
3. How to find GCD of 77, 237, 520, 249 on a calculator?
You can find the GCD of 77, 237, 520, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.