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 763, 709, 290, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 763, 709, 290, 378 is 1
GCD(763, 709, 290, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 763, 709, 290, 378 is 1
GCD(763, 709, 290, 378) = 1
Given Input numbers are 763, 709, 290, 378
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
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
Greatest Common Divisior
We found the divisors of 763, 709, 290, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 709, 290, 378 is 1.
Therefore, GCD of numbers 763, 709, 290, 378 is 1
Given Input Data is 763, 709, 290, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 763 is 7 x 109
Prime Factorization of 709 is 709
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
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(763, 709) = 540967
GCD(763, 709) = ( 763 x 709 ) / 540967
GCD(763, 709) = 540967 / 540967
GCD(763, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
GCD(1, 290) = 290 / 290
GCD(1, 290) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
GCD of 763, 709, 290, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 763, 709, 290, 378?
GCD of 763, 709, 290, 378 is 1
2. Where do I get the detailed procedure to find GCD of 763, 709, 290, 378?
You can find a detailed procedure to find GCD of 763, 709, 290, 378 on our page.
3. How to find GCD of 763, 709, 290, 378 on a calculator?
You can find the GCD of 763, 709, 290, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.