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 672, 224, 41, 942 i.e. 1 largest integer that divides all the numbers equally.
GCD of 672, 224, 41, 942 is 1
GCD(672, 224, 41, 942) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 224, 41, 942 is 1
GCD(672, 224, 41, 942) = 1
Given Input numbers are 672, 224, 41, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 672, 224, 41, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 224, 41, 942 is 1.
Therefore, GCD of numbers 672, 224, 41, 942 is 1
Given Input Data is 672, 224, 41, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 41 is 41
Prime Factorization of 942 is 2 x 3 x 157
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(672, 224) = 672
GCD(672, 224) = ( 672 x 224 ) / 672
GCD(672, 224) = 150528 / 672
GCD(672, 224) = 224
Step2:
Here we consider the GCD from the above i.e. 224 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(224, 41) = 9184
GCD(224, 41) = ( 224 x 41 ) / 9184
GCD(224, 41) = 9184 / 9184
GCD(224, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
GCD of 672, 224, 41, 942 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 672, 224, 41, 942?
GCD of 672, 224, 41, 942 is 1
2. Where do I get the detailed procedure to find GCD of 672, 224, 41, 942?
You can find a detailed procedure to find GCD of 672, 224, 41, 942 on our page.
3. How to find GCD of 672, 224, 41, 942 on a calculator?
You can find the GCD of 672, 224, 41, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.