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 441, 112, 88, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 441, 112, 88, 695 is 1
GCD(441, 112, 88, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 441, 112, 88, 695 is 1
GCD(441, 112, 88, 695) = 1
Given Input numbers are 441, 112, 88, 695
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 441, 112, 88, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 112, 88, 695 is 1.
Therefore, GCD of numbers 441, 112, 88, 695 is 1
Given Input Data is 441, 112, 88, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 695 is 5 x 139
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(441, 112) = 7056
GCD(441, 112) = ( 441 x 112 ) / 7056
GCD(441, 112) = 49392 / 7056
GCD(441, 112) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 88) = 616
GCD(7, 88) = ( 7 x 88 ) / 616
GCD(7, 88) = 616 / 616
GCD(7, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
GCD(1, 695) = 695 / 695
GCD(1, 695) = 1
GCD of 441, 112, 88, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 441, 112, 88, 695?
GCD of 441, 112, 88, 695 is 1
2. Where do I get the detailed procedure to find GCD of 441, 112, 88, 695?
You can find a detailed procedure to find GCD of 441, 112, 88, 695 on our page.
3. How to find GCD of 441, 112, 88, 695 on a calculator?
You can find the GCD of 441, 112, 88, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.