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 896, 661, 643, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 896, 661, 643, 135 is 1
GCD(896, 661, 643, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 896, 661, 643, 135 is 1
GCD(896, 661, 643, 135) = 1
Given Input numbers are 896, 661, 643, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 896, 661, 643, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 661, 643, 135 is 1.
Therefore, GCD of numbers 896, 661, 643, 135 is 1
Given Input Data is 896, 661, 643, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 661 is 661
Prime Factorization of 643 is 643
Prime Factorization of 135 is 3 x 3 x 3 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(896, 661) = 592256
GCD(896, 661) = ( 896 x 661 ) / 592256
GCD(896, 661) = 592256 / 592256
GCD(896, 661) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 896, 661, 643, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 896, 661, 643, 135?
GCD of 896, 661, 643, 135 is 1
2. Where do I get the detailed procedure to find GCD of 896, 661, 643, 135?
You can find a detailed procedure to find GCD of 896, 661, 643, 135 on our page.
3. How to find GCD of 896, 661, 643, 135 on a calculator?
You can find the GCD of 896, 661, 643, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.