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 147, 178, 278, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 147, 178, 278, 376 is 1
GCD(147, 178, 278, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 178, 278, 376 is 1
GCD(147, 178, 278, 376) = 1
Given Input numbers are 147, 178, 278, 376
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 147, 178, 278, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 178, 278, 376 is 1.
Therefore, GCD of numbers 147, 178, 278, 376 is 1
Given Input Data is 147, 178, 278, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 178 is 2 x 89
Prime Factorization of 278 is 2 x 139
Prime Factorization of 376 is 2 x 2 x 2 x 47
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(147, 178) = 26166
GCD(147, 178) = ( 147 x 178 ) / 26166
GCD(147, 178) = 26166 / 26166
GCD(147, 178) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
GCD of 147, 178, 278, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 178, 278, 376?
GCD of 147, 178, 278, 376 is 1
2. Where do I get the detailed procedure to find GCD of 147, 178, 278, 376?
You can find a detailed procedure to find GCD of 147, 178, 278, 376 on our page.
3. How to find GCD of 147, 178, 278, 376 on a calculator?
You can find the GCD of 147, 178, 278, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.