Use our free GCF of Fractions Calculator tool to compute the GCF of 9/15, 46/39, 92/134, 292/149 i.e 1/3893370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/15, 46/39, 92/134, 292/149.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/15,46/39,92/134,292/149
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 9/15,46/39,92/134,292/149, numerators are 9,46,92,292
Denominators are 15,39,134,149
The GCF of 9,46,92,292 is 1 .
LCM of 15,39,134,149 is 3893370.
The greatest common factor of 9/15,46/39,92/134,292/149 = [GCF of 9,46,92,292]/[LCM of 15,39,134,149]= 1/3893370
Therefore, the GCF of 9/15,46/39,92/134,292/149 is 1/3893370.
To find the highest common factor of 9,46,92,292, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 46 are 1, 2, 23, 46
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 292 are 1, 2, 4, 73, 146, 292
The HCF of 9,46,92,292 is 1.
Lets's calculate GCF of 9,46,92,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 9,46,92,292 . The biggest common factor number is the GCF number.
So the greatest common factor 9,46,92,292 is 1.
Lets's calculate LCM of 15,39,134,149
3 | 15, 39, 134, 149 |
5, 13, 134, 149 |
∴ So the LCM of the given numbers is 3 x 5 x 13 x 134 x 149 = 3893370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3893370
Therefore, the GCF of Fractions 9/15,46/39,92/134,292/149 is 1/3893370
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 15,39,134,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,39,134,149) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(15,39,134,149) x common factors =1 x 3 = 3
LCM(15,39,134,149) = ( 15 × 39 × 134 × 149 ) / 3
LCM(15,39,134,149) = 11680110 / 3
LCM(15,39,134,149) = 3893370
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9,46,92,292?
The HCF of 9,46,92,292 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 9/15, 46/39, 92/134, 292/149?
Answer: GCF of Numerators as per given numbers 9/15, 46/39, 92/134, 292/149 is
GCF of Numerators i.e. for 9,46,92,292 is 1
LCM of denominators i.e. for 15,39,134,149 is 3893370.
Thus, GCF of Fractions is 1/3893370.Finally, GCF of Fractions for 9/15, 46/39, 92/134, 292/149 is 1/3893370.