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, 217, 950, 640 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 217, 950, 640 is 1
GCD(77, 217, 950, 640) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 217, 950, 640 is 1
GCD(77, 217, 950, 640) = 1
Given Input numbers are 77, 217, 950, 640
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 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Greatest Common Divisior
We found the divisors of 77, 217, 950, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 217, 950, 640 is 1.
Therefore, GCD of numbers 77, 217, 950, 640 is 1
Given Input Data is 77, 217, 950, 640
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 217 is 7 x 31
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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, 217) = 2387
GCD(77, 217) = ( 77 x 217 ) / 2387
GCD(77, 217) = 16709 / 2387
GCD(77, 217) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 950) = 6650
GCD(7, 950) = ( 7 x 950 ) / 6650
GCD(7, 950) = 6650 / 6650
GCD(7, 950) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 640) = 640
GCD(1, 640) = ( 1 x 640 ) / 640
GCD(1, 640) = 640 / 640
GCD(1, 640) = 1
GCD of 77, 217, 950, 640 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 217, 950, 640?
GCD of 77, 217, 950, 640 is 1
2. Where do I get the detailed procedure to find GCD of 77, 217, 950, 640?
You can find a detailed procedure to find GCD of 77, 217, 950, 640 on our page.
3. How to find GCD of 77, 217, 950, 640 on a calculator?
You can find the GCD of 77, 217, 950, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.