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 94, 378, 268, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 94, 378, 268, 763 is 1
GCD(94, 378, 268, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 94, 378, 268, 763 is 1
GCD(94, 378, 268, 763) = 1
Given Input numbers are 94, 378, 268, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 94, 378, 268, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 94, 378, 268, 763 is 1.
Therefore, GCD of numbers 94, 378, 268, 763 is 1
Given Input Data is 94, 378, 268, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 94 is 2 x 47
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 763 is 7 x 109
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(94, 378) = 17766
GCD(94, 378) = ( 94 x 378 ) / 17766
GCD(94, 378) = 35532 / 17766
GCD(94, 378) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 268) = 268
GCD(2, 268) = ( 2 x 268 ) / 268
GCD(2, 268) = 536 / 268
GCD(2, 268) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 763) = 1526
GCD(2, 763) = ( 2 x 763 ) / 1526
GCD(2, 763) = 1526 / 1526
GCD(2, 763) = 1
GCD of 94, 378, 268, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 94, 378, 268, 763?
GCD of 94, 378, 268, 763 is 1
2. Where do I get the detailed procedure to find GCD of 94, 378, 268, 763?
You can find a detailed procedure to find GCD of 94, 378, 268, 763 on our page.
3. How to find GCD of 94, 378, 268, 763 on a calculator?
You can find the GCD of 94, 378, 268, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.