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, 134, 64, 455 i.e. 1 largest integer that divides all the numbers equally.
GCD of 278, 134, 64, 455 is 1
GCD(278, 134, 64, 455) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 278, 134, 64, 455 is 1
GCD(278, 134, 64, 455) = 1
Given Input numbers are 278, 134, 64, 455
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 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Greatest Common Divisior
We found the divisors of 278, 134, 64, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 134, 64, 455 is 1.
Therefore, GCD of numbers 278, 134, 64, 455 is 1
Given Input Data is 278, 134, 64, 455
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 278 is 2 x 139
Prime Factorization of 134 is 2 x 67
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 455 is 5 x 7 x 13
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, 134) = 18626
GCD(278, 134) = ( 278 x 134 ) / 18626
GCD(278, 134) = 37252 / 18626
GCD(278, 134) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 64) = 64
GCD(2, 64) = ( 2 x 64 ) / 64
GCD(2, 64) = 128 / 64
GCD(2, 64) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 455
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 455) = 910
GCD(2, 455) = ( 2 x 455 ) / 910
GCD(2, 455) = 910 / 910
GCD(2, 455) = 1
GCD of 278, 134, 64, 455 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 278, 134, 64, 455?
GCD of 278, 134, 64, 455 is 1
2. Where do I get the detailed procedure to find GCD of 278, 134, 64, 455?
You can find a detailed procedure to find GCD of 278, 134, 64, 455 on our page.
3. How to find GCD of 278, 134, 64, 455 on a calculator?
You can find the GCD of 278, 134, 64, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.