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 426, 554, 294, 139 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 554, 294, 139 is 1
GCD(426, 554, 294, 139) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 554, 294, 139 is 1
GCD(426, 554, 294, 139) = 1
Given Input numbers are 426, 554, 294, 139
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Greatest Common Divisior
We found the divisors of 426, 554, 294, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 554, 294, 139 is 1.
Therefore, GCD of numbers 426, 554, 294, 139 is 1
Given Input Data is 426, 554, 294, 139
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 554 is 2 x 277
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 139 is 139
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(426, 554) = 118002
GCD(426, 554) = ( 426 x 554 ) / 118002
GCD(426, 554) = 236004 / 118002
GCD(426, 554) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 294
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 294) = 294
GCD(2, 294) = ( 2 x 294 ) / 294
GCD(2, 294) = 588 / 294
GCD(2, 294) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 139
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 139) = 278
GCD(2, 139) = ( 2 x 139 ) / 278
GCD(2, 139) = 278 / 278
GCD(2, 139) = 1
GCD of 426, 554, 294, 139 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 554, 294, 139?
GCD of 426, 554, 294, 139 is 1
2. Where do I get the detailed procedure to find GCD of 426, 554, 294, 139?
You can find a detailed procedure to find GCD of 426, 554, 294, 139 on our page.
3. How to find GCD of 426, 554, 294, 139 on a calculator?
You can find the GCD of 426, 554, 294, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.