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 157, 276, 42, 448 i.e. 1 largest integer that divides all the numbers equally.
GCD of 157, 276, 42, 448 is 1
GCD(157, 276, 42, 448) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 157, 276, 42, 448 is 1
GCD(157, 276, 42, 448) = 1
Given Input numbers are 157, 276, 42, 448
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Greatest Common Divisior
We found the divisors of 157, 276, 42, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 276, 42, 448 is 1.
Therefore, GCD of numbers 157, 276, 42, 448 is 1
Given Input Data is 157, 276, 42, 448
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 157 is 157
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
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(157, 276) = 43332
GCD(157, 276) = ( 157 x 276 ) / 43332
GCD(157, 276) = 43332 / 43332
GCD(157, 276) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
GCD(1, 448) = 448 / 448
GCD(1, 448) = 1
GCD of 157, 276, 42, 448 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 157, 276, 42, 448?
GCD of 157, 276, 42, 448 is 1
2. Where do I get the detailed procedure to find GCD of 157, 276, 42, 448?
You can find a detailed procedure to find GCD of 157, 276, 42, 448 on our page.
3. How to find GCD of 157, 276, 42, 448 on a calculator?
You can find the GCD of 157, 276, 42, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.