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 277, 487, 70, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 277, 487, 70, 780 is 1
GCD(277, 487, 70, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 277, 487, 70, 780 is 1
GCD(277, 487, 70, 780) = 1
Given Input numbers are 277, 487, 70, 780
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Greatest Common Divisior
We found the divisors of 277, 487, 70, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 487, 70, 780 is 1.
Therefore, GCD of numbers 277, 487, 70, 780 is 1
Given Input Data is 277, 487, 70, 780
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 277 is 277
Prime Factorization of 487 is 487
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
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(277, 487) = 134899
GCD(277, 487) = ( 277 x 487 ) / 134899
GCD(277, 487) = 134899 / 134899
GCD(277, 487) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
GCD of 277, 487, 70, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 277, 487, 70, 780?
GCD of 277, 487, 70, 780 is 1
2. Where do I get the detailed procedure to find GCD of 277, 487, 70, 780?
You can find a detailed procedure to find GCD of 277, 487, 70, 780 on our page.
3. How to find GCD of 277, 487, 70, 780 on a calculator?
You can find the GCD of 277, 487, 70, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.