GCF of 994/843, 8348/378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/843, 8348/378 i.e 2/106218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/843, 8348/378.
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 994/843,8348/378?
Given fractions are 994/843,8348/378
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 994/843,8348/378, numerators are 994,8348
Denominators are 843,378
The GCF of 994,8348 is 2 .
LCM of 843,378 is 106218.
The greatest common factor of 994/843,8348/378 = [GCF of 994,8348]/[LCM of 843,378]= 2/106218
Therefore, the GCF of 994/843,8348/378 is 2/106218.
To find the highest common factor of 994,8348, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 8348 are 1, 2, 4, 2087, 4174, 8348
The HCF of 994,8348 is 2.
Lets's calculate GCF of 994,8348
| 2 | 994, 8348 |
| 497, 4174 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 994,8348 By Matching Biggest Common Factor Method
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 8348
:1,2,4,2087,4174,8348
Greatest Common Factor
We found the factors 994,8348 . The biggest common factor number is the GCF number.
So the greatest common factor 994,8348 is 2.
Lets's calculate LCM of 843,378
| 3 | 843, 378 |
| 281, 126 |
∴ So the LCM of the given numbers is 3 x 281 x 126 = 106218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/106218
Therefore, the GCF of Fractions 994/843,8348/378 is 2/106218
Least Common Multiple of 843,378 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 843,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,378) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(843,378) x common factors =3 x 1 = 3
LCM(843,378) = ( 843 × 378 ) / 3
LCM(843,378) = 318654 / 3
LCM(843,378) = 106218
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 994/843, 8348/378
1. What is the HCF of 994,8348?
The HCF of 994,8348 is 2
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 994/843, 8348/378?
Answer: GCF of Numerators as per given numbers 994/843, 8348/378 is
GCF of Numerators i.e. for 994,8348 is 2
LCM of denominators i.e. for 843,378 is 106218.
Thus, GCF of Fractions is 2/106218.Finally, GCF of Fractions for 994/843, 8348/378 is 2/106218.