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, 942, 67, 453 i.e. 1 largest integer that divides all the numbers equally.
GCD of 896, 942, 67, 453 is 1
GCD(896, 942, 67, 453) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 896, 942, 67, 453 is 1
GCD(896, 942, 67, 453) = 1
Given Input numbers are 896, 942, 67, 453
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 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Greatest Common Divisior
We found the divisors of 896, 942, 67, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 942, 67, 453 is 1.
Therefore, GCD of numbers 896, 942, 67, 453 is 1
Given Input Data is 896, 942, 67, 453
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 942 is 2 x 3 x 157
Prime Factorization of 67 is 67
Prime Factorization of 453 is 3 x 151
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, 942) = 422016
GCD(896, 942) = ( 896 x 942 ) / 422016
GCD(896, 942) = 844032 / 422016
GCD(896, 942) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 67) = 134
GCD(2, 67) = ( 2 x 67 ) / 134
GCD(2, 67) = 134 / 134
GCD(2, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 453
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 453) = 453
GCD(1, 453) = ( 1 x 453 ) / 453
GCD(1, 453) = 453 / 453
GCD(1, 453) = 1
GCD of 896, 942, 67, 453 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 896, 942, 67, 453?
GCD of 896, 942, 67, 453 is 1
2. Where do I get the detailed procedure to find GCD of 896, 942, 67, 453?
You can find a detailed procedure to find GCD of 896, 942, 67, 453 on our page.
3. How to find GCD of 896, 942, 67, 453 on a calculator?
You can find the GCD of 896, 942, 67, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.