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 423, 148, 196, 672 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 148, 196, 672 is 1
GCD(423, 148, 196, 672) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 148, 196, 672 is 1
GCD(423, 148, 196, 672) = 1
Given Input numbers are 423, 148, 196, 672
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
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
Greatest Common Divisior
We found the divisors of 423, 148, 196, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 148, 196, 672 is 1.
Therefore, GCD of numbers 423, 148, 196, 672 is 1
Given Input Data is 423, 148, 196, 672
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
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(423, 148) = 62604
GCD(423, 148) = ( 423 x 148 ) / 62604
GCD(423, 148) = 62604 / 62604
GCD(423, 148) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
GCD(1, 672) = 672 / 672
GCD(1, 672) = 1
GCD of 423, 148, 196, 672 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 148, 196, 672?
GCD of 423, 148, 196, 672 is 1
2. Where do I get the detailed procedure to find GCD of 423, 148, 196, 672?
You can find a detailed procedure to find GCD of 423, 148, 196, 672 on our page.
3. How to find GCD of 423, 148, 196, 672 on a calculator?
You can find the GCD of 423, 148, 196, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.