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 43, 337, 267, 100 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 337, 267, 100 is 1
GCD(43, 337, 267, 100) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 337, 267, 100 is 1
GCD(43, 337, 267, 100) = 1
Given Input numbers are 43, 337, 267, 100
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Greatest Common Divisior
We found the divisors of 43, 337, 267, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 337, 267, 100 is 1.
Therefore, GCD of numbers 43, 337, 267, 100 is 1
Given Input Data is 43, 337, 267, 100
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 337 is 337
Prime Factorization of 267 is 3 x 89
Prime Factorization of 100 is 2 x 2 x 5 x 5
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(43, 337) = 14491
GCD(43, 337) = ( 43 x 337 ) / 14491
GCD(43, 337) = 14491 / 14491
GCD(43, 337) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
GCD of 43, 337, 267, 100 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 43, 337, 267, 100?
GCD of 43, 337, 267, 100 is 1
2. Where do I get the detailed procedure to find GCD of 43, 337, 267, 100?
You can find a detailed procedure to find GCD of 43, 337, 267, 100 on our page.
3. How to find GCD of 43, 337, 267, 100 on a calculator?
You can find the GCD of 43, 337, 267, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.