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, 616, 66, 680 i.e. 1 largest integer that divides all the numbers equally.
GCD of 277, 616, 66, 680 is 1
GCD(277, 616, 66, 680) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 277, 616, 66, 680 is 1
GCD(277, 616, 66, 680) = 1
Given Input numbers are 277, 616, 66, 680
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 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Greatest Common Divisior
We found the divisors of 277, 616, 66, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 616, 66, 680 is 1.
Therefore, GCD of numbers 277, 616, 66, 680 is 1
Given Input Data is 277, 616, 66, 680
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 277 is 277
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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, 616) = 170632
GCD(277, 616) = ( 277 x 616 ) / 170632
GCD(277, 616) = 170632 / 170632
GCD(277, 616) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 1
GCD of 277, 616, 66, 680 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 277, 616, 66, 680?
GCD of 277, 616, 66, 680 is 1
2. Where do I get the detailed procedure to find GCD of 277, 616, 66, 680?
You can find a detailed procedure to find GCD of 277, 616, 66, 680 on our page.
3. How to find GCD of 277, 616, 66, 680 on a calculator?
You can find the GCD of 277, 616, 66, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.