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 120, 196, 84, 673 i.e. 1 largest integer that divides all the numbers equally.
GCD of 120, 196, 84, 673 is 1
GCD(120, 196, 84, 673) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 120, 196, 84, 673 is 1
GCD(120, 196, 84, 673) = 1
Given Input numbers are 120, 196, 84, 673
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Greatest Common Divisior
We found the divisors of 120, 196, 84, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 196, 84, 673 is 1.
Therefore, GCD of numbers 120, 196, 84, 673 is 1
Given Input Data is 120, 196, 84, 673
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 673 is 673
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(120, 196) = 5880
GCD(120, 196) = ( 120 x 196 ) / 5880
GCD(120, 196) = 23520 / 5880
GCD(120, 196) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 84) = 84
GCD(4, 84) = ( 4 x 84 ) / 84
GCD(4, 84) = 336 / 84
GCD(4, 84) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 673
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 673) = 2692
GCD(4, 673) = ( 4 x 673 ) / 2692
GCD(4, 673) = 2692 / 2692
GCD(4, 673) = 1
GCD of 120, 196, 84, 673 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 120, 196, 84, 673?
GCD of 120, 196, 84, 673 is 1
2. Where do I get the detailed procedure to find GCD of 120, 196, 84, 673?
You can find a detailed procedure to find GCD of 120, 196, 84, 673 on our page.
3. How to find GCD of 120, 196, 84, 673 on a calculator?
You can find the GCD of 120, 196, 84, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.