Use our free GCF of Fractions Calculator tool to compute the GCF of 442/83, 846/73, 378/46 i.e 2/278714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/83, 846/73, 378/46.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 442/83,846/73,378/46
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 442/83,846/73,378/46, numerators are 442,846,378
Denominators are 83,73,46
The GCF of 442,846,378 is 2 .
LCM of 83,73,46 is 278714.
The greatest common factor of 442/83,846/73,378/46 = [GCF of 442,846,378]/[LCM of 83,73,46]= 2/278714
Therefore, the GCF of 442/83,846/73,378/46 is 2/278714.
To find the highest common factor of 442,846,378, we have to find the factors of both numbers and list the highest common factor.
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The HCF of 442,846,378 is 2.
Lets's calculate GCF of 442,846,378
2 | 442, 846, 378 |
221, 423, 189 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 442,846,378 . The biggest common factor number is the GCF number.
So the greatest common factor 442,846,378 is 2.
Lets's calculate LCM of 83,73,46
Given numbers has no common factors except 1. So, there LCM is their product i.e 278714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/278714
Therefore, the GCF of Fractions 442/83,846/73,378/46 is 2/278714
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 83,73,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,73,46) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,73,46) x common factors =1 x 1 = 1
LCM(83,73,46) = ( 83 × 73 × 46 ) / 1
LCM(83,73,46) = 278714 / 1
LCM(83,73,46) = 278714
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 442,846,378?
The HCF of 442,846,378 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 442/83, 846/73, 378/46?
Answer: GCF of Numerators as per given numbers 442/83, 846/73, 378/46 is
GCF of Numerators i.e. for 442,846,378 is 2
LCM of denominators i.e. for 83,73,46 is 278714.
Thus, GCF of Fractions is 2/278714.Finally, GCF of Fractions for 442/83, 846/73, 378/46 is 2/278714.