Use our free GCF of Fractions Calculator tool to compute the GCF of 92/78, 884/13, 142/195 i.e 2/390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/78, 884/13, 142/195.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/78,884/13,142/195
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 92/78,884/13,142/195, numerators are 92,884,142
Denominators are 78,13,195
The GCF of 92,884,142 is 2 .
LCM of 78,13,195 is 390.
The greatest common factor of 92/78,884/13,142/195 = [GCF of 92,884,142]/[LCM of 78,13,195]= 2/390
Therefore, the GCF of 92/78,884/13,142/195 is 2/390.
To find the highest common factor of 92,884,142, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The factors of 142 are 1, 2, 71, 142
The HCF of 92,884,142 is 2.
Lets's calculate GCF of 92,884,142
2 | 92, 884, 142 |
46, 442, 71 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Now, list down the factors of 142
:1,2,71,142
Greatest Common Factor
We found the factors 92,884,142 . The biggest common factor number is the GCF number.
So the greatest common factor 92,884,142 is 2.
Lets's calculate LCM of 78,13,195
3 | 78, 13, 195 |
13 | 26, 13, 65 |
2, 1, 5 |
∴ So the LCM of the given numbers is 3 x 13 x 2 x 1 x 5 = 390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/390
Therefore, the GCF of Fractions 92/78,884/13,142/195 is 2/390
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 78,13,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,13,195) = 13
common factors(in case of two or more numbers have common factors) = 39
GCF(78,13,195) x common factors =13 x 39 = 507
LCM(78,13,195) = ( 78 × 13 × 195 ) / 507
LCM(78,13,195) = 197730 / 507
LCM(78,13,195) = 390
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,884,142?
The HCF of 92,884,142 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 92/78, 884/13, 142/195?
Answer: GCF of Numerators as per given numbers 92/78, 884/13, 142/195 is
GCF of Numerators i.e. for 92,884,142 is 2
LCM of denominators i.e. for 78,13,195 is 390.
Thus, GCF of Fractions is 2/390.Finally, GCF of Fractions for 92/78, 884/13, 142/195 is 2/390.