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 392, 739, 690, 426 i.e. 1 largest integer that divides all the numbers equally.
GCD of 392, 739, 690, 426 is 1
GCD(392, 739, 690, 426) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 392, 739, 690, 426 is 1
GCD(392, 739, 690, 426) = 1
Given Input numbers are 392, 739, 690, 426
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Greatest Common Divisior
We found the divisors of 392, 739, 690, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 739, 690, 426 is 1.
Therefore, GCD of numbers 392, 739, 690, 426 is 1
Given Input Data is 392, 739, 690, 426
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 739 is 739
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 426 is 2 x 3 x 71
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(392, 739) = 289688
GCD(392, 739) = ( 392 x 739 ) / 289688
GCD(392, 739) = 289688 / 289688
GCD(392, 739) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
GCD(1, 426) = 426 / 426
GCD(1, 426) = 1
GCD of 392, 739, 690, 426 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 392, 739, 690, 426?
GCD of 392, 739, 690, 426 is 1
2. Where do I get the detailed procedure to find GCD of 392, 739, 690, 426?
You can find a detailed procedure to find GCD of 392, 739, 690, 426 on our page.
3. How to find GCD of 392, 739, 690, 426 on a calculator?
You can find the GCD of 392, 739, 690, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.