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 378, 278, 149, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 278, 149, 267 is 1
GCD(378, 278, 149, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 278, 149, 267 is 1
GCD(378, 278, 149, 267) = 1
Given Input numbers are 378, 278, 149, 267
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 378, 278, 149, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 278, 149, 267 is 1.
Therefore, GCD of numbers 378, 278, 149, 267 is 1
Given Input Data is 378, 278, 149, 267
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 278 is 2 x 139
Prime Factorization of 149 is 149
Prime Factorization of 267 is 3 x 89
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(378, 278) = 52542
GCD(378, 278) = ( 378 x 278 ) / 52542
GCD(378, 278) = 105084 / 52542
GCD(378, 278) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 149) = 298
GCD(2, 149) = ( 2 x 149 ) / 298
GCD(2, 149) = 298 / 298
GCD(2, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
GCD of 378, 278, 149, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 278, 149, 267?
GCD of 378, 278, 149, 267 is 1
2. Where do I get the detailed procedure to find GCD of 378, 278, 149, 267?
You can find a detailed procedure to find GCD of 378, 278, 149, 267 on our page.
3. How to find GCD of 378, 278, 149, 267 on a calculator?
You can find the GCD of 378, 278, 149, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.