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 278, 679, 46, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 278, 679, 46, 462 is 1
GCD(278, 679, 46, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 278, 679, 46, 462 is 1
GCD(278, 679, 46, 462) = 1
Given Input numbers are 278, 679, 46, 462
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 278, 679, 46, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 679, 46, 462 is 1.
Therefore, GCD of numbers 278, 679, 46, 462 is 1
Given Input Data is 278, 679, 46, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 278 is 2 x 139
Prime Factorization of 679 is 7 x 97
Prime Factorization of 46 is 2 x 23
Prime Factorization of 462 is 2 x 3 x 7 x 11
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(278, 679) = 188762
GCD(278, 679) = ( 278 x 679 ) / 188762
GCD(278, 679) = 188762 / 188762
GCD(278, 679) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 278, 679, 46, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 278, 679, 46, 462?
GCD of 278, 679, 46, 462 is 1
2. Where do I get the detailed procedure to find GCD of 278, 679, 46, 462?
You can find a detailed procedure to find GCD of 278, 679, 46, 462 on our page.
3. How to find GCD of 278, 679, 46, 462 on a calculator?
You can find the GCD of 278, 679, 46, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.