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 19, 749, 126, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 19, 749, 126, 778 is 1
GCD(19, 749, 126, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 19, 749, 126, 778 is 1
GCD(19, 749, 126, 778) = 1
Given Input numbers are 19, 749, 126, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
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 19, 749, 126, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 749, 126, 778 is 1.
Therefore, GCD of numbers 19, 749, 126, 778 is 1
Given Input Data is 19, 749, 126, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 19 is 19
Prime Factorization of 749 is 7 x 107
Prime Factorization of 126 is 2 x 3 x 3 x 7
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(19, 749) = 14231
GCD(19, 749) = ( 19 x 749 ) / 14231
GCD(19, 749) = 14231 / 14231
GCD(19, 749) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 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 19, 749, 126, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 19, 749, 126, 778?
GCD of 19, 749, 126, 778 is 1
2. Where do I get the detailed procedure to find GCD of 19, 749, 126, 778?
You can find a detailed procedure to find GCD of 19, 749, 126, 778 on our page.
3. How to find GCD of 19, 749, 126, 778 on a calculator?
You can find the GCD of 19, 749, 126, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.