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 635, 986, 67, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 635, 986, 67, 778 is 1
GCD(635, 986, 67, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 635, 986, 67, 778 is 1
GCD(635, 986, 67, 778) = 1
Given Input numbers are 635, 986, 67, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 635, 986, 67, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 986, 67, 778 is 1.
Therefore, GCD of numbers 635, 986, 67, 778 is 1
Given Input Data is 635, 986, 67, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 635 is 5 x 127
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 67 is 67
Prime Factorization of 778 is 2 x 389
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(635, 986) = 626110
GCD(635, 986) = ( 635 x 986 ) / 626110
GCD(635, 986) = 626110 / 626110
GCD(635, 986) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
GCD of 635, 986, 67, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 635, 986, 67, 778?
GCD of 635, 986, 67, 778 is 1
2. Where do I get the detailed procedure to find GCD of 635, 986, 67, 778?
You can find a detailed procedure to find GCD of 635, 986, 67, 778 on our page.
3. How to find GCD of 635, 986, 67, 778 on a calculator?
You can find the GCD of 635, 986, 67, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.