Use our free GCF of Fractions Calculator tool to compute the GCF of 92/71, 12/831, 332/506 i.e 4/29854506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/71, 12/831, 332/506.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/71,12/831,332/506
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 92/71,12/831,332/506, numerators are 92,12,332
Denominators are 71,831,506
The GCF of 92,12,332 is 4 .
LCM of 71,831,506 is 29854506.
The greatest common factor of 92/71,12/831,332/506 = [GCF of 92,12,332]/[LCM of 71,831,506]= 4/29854506
Therefore, the GCF of 92/71,12/831,332/506 is 4/29854506.
To find the highest common factor of 92,12,332, 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 12 are 1, 2, 3, 4, 6, 12
The factors of 332 are 1, 2, 4, 83, 166, 332
The HCF of 92,12,332 is 4.
Lets's calculate GCF of 92,12,332
2 | 92, 12, 332 |
2 | 46, 6, 166 |
23, 3, 83 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 332
:1,2,4,83,166,332
Greatest Common Factor
We found the factors 92,12,332 . The biggest common factor number is the GCF number.
So the greatest common factor 92,12,332 is 4.
Lets's calculate LCM of 71,831,506
Given numbers has no common factors except 1. So, there LCM is their product i.e 29854506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29854506
Therefore, the GCF of Fractions 92/71,12/831,332/506 is 4/29854506
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 71,831,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,831,506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,831,506) x common factors =1 x 1 = 1
LCM(71,831,506) = ( 71 × 831 × 506 ) / 1
LCM(71,831,506) = 29854506 / 1
LCM(71,831,506) = 29854506
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,12,332?
The HCF of 92,12,332 is 4
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 92/71, 12/831, 332/506?
Answer: GCF of Numerators as per given numbers 92/71, 12/831, 332/506 is
GCF of Numerators i.e. for 92,12,332 is 4
LCM of denominators i.e. for 71,831,506 is 29854506.
Thus, GCF of Fractions is 4/29854506.Finally, GCF of Fractions for 92/71, 12/831, 332/506 is 4/29854506.