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, 909, 532, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 448, 909, 532, 707 is 1
GCD(448, 909, 532, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 448, 909, 532, 707 is 1
GCD(448, 909, 532, 707) = 1
Given Input numbers are 448, 909, 532, 707
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 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 448, 909, 532, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 909, 532, 707 is 1.
Therefore, GCD of numbers 448, 909, 532, 707 is 1
Given Input Data is 448, 909, 532, 707
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 909 is 3 x 3 x 101
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 707 is 7 x 101
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, 909) = 407232
GCD(448, 909) = ( 448 x 909 ) / 407232
GCD(448, 909) = 407232 / 407232
GCD(448, 909) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 532) = 532
GCD(1, 532) = ( 1 x 532 ) / 532
GCD(1, 532) = 532 / 532
GCD(1, 532) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 448, 909, 532, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 448, 909, 532, 707?
GCD of 448, 909, 532, 707 is 1
2. Where do I get the detailed procedure to find GCD of 448, 909, 532, 707?
You can find a detailed procedure to find GCD of 448, 909, 532, 707 on our page.
3. How to find GCD of 448, 909, 532, 707 on a calculator?
You can find the GCD of 448, 909, 532, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.