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 448, 101, 140, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 448, 101, 140, 575 is 1
GCD(448, 101, 140, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 448, 101, 140, 575 is 1
GCD(448, 101, 140, 575) = 1
Given Input numbers are 448, 101, 140, 575
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 448, 101, 140, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 101, 140, 575 is 1.
Therefore, GCD of numbers 448, 101, 140, 575 is 1
Given Input Data is 448, 101, 140, 575
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 101 is 101
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 575 is 5 x 5 x 23
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(448, 101) = 45248
GCD(448, 101) = ( 448 x 101 ) / 45248
GCD(448, 101) = 45248 / 45248
GCD(448, 101) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 575) = 575
GCD(1, 575) = ( 1 x 575 ) / 575
GCD(1, 575) = 575 / 575
GCD(1, 575) = 1
GCD of 448, 101, 140, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 448, 101, 140, 575?
GCD of 448, 101, 140, 575 is 1
2. Where do I get the detailed procedure to find GCD of 448, 101, 140, 575?
You can find a detailed procedure to find GCD of 448, 101, 140, 575 on our page.
3. How to find GCD of 448, 101, 140, 575 on a calculator?
You can find the GCD of 448, 101, 140, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.