GCF of 193/84, 195/9684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 193/84, 195/9684 i.e 1/67788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 193/84, 195/9684.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 193/84,195/9684?
Given fractions are 193/84,195/9684
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 193/84,195/9684, numerators are 193,195
Denominators are 84,9684
The GCF of 193,195 is 1 .
LCM of 84,9684 is 67788.
The greatest common factor of 193/84,195/9684 = [GCF of 193,195]/[LCM of 84,9684]= 1/67788
Therefore, the GCF of 193/84,195/9684 is 1/67788.
To find the highest common factor of 193,195, we have to find the factors of both numbers and list the highest common factor.
The factors of 193 are 1, 193
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195
The HCF of 193,195 is 1.
Lets's calculate GCF of 193,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 193,195 By Matching Biggest Common Factor Method
Now, list down the factors of 193
:1,193
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 193,195 . The biggest common factor number is the GCF number.
So the greatest common factor 193,195 is 1.
Lets's calculate LCM of 84,9684
| 2 | 84, 9684 |
| 2 | 42, 4842 |
| 3 | 21, 2421 |
| 7, 807 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 807 = 67788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67788
Therefore, the GCF of Fractions 193/84,195/9684 is 1/67788
Least Common Multiple of 84,9684 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 84,9684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,9684) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(84,9684) x common factors =12 x 1 = 12
LCM(84,9684) = ( 84 × 9684 ) / 12
LCM(84,9684) = 813456 / 12
LCM(84,9684) = 67788
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FAQs on GCF of Fractions of 193/84, 195/9684
1. What is the HCF of 193,195?
The HCF of 193,195 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 193/84, 195/9684?
Answer: GCF of Numerators as per given numbers 193/84, 195/9684 is
GCF of Numerators i.e. for 193,195 is 1
LCM of denominators i.e. for 84,9684 is 67788.
Thus, GCF of Fractions is 1/67788.Finally, GCF of Fractions for 193/84, 195/9684 is 1/67788.