Use our free GCF of Fractions Calculator tool to compute the GCF of 3/39, 7/88, 3/27, 68/946 i.e 1/1328184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/39, 7/88, 3/27, 68/946.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/39,7/88,3/27,68/946
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 3/39,7/88,3/27,68/946, numerators are 3,7,3,68
Denominators are 39,88,27,946
The GCF of 3,7,3,68 is 1 .
LCM of 39,88,27,946 is 1328184.
The greatest common factor of 3/39,7/88,3/27,68/946 = [GCF of 3,7,3,68]/[LCM of 39,88,27,946]= 1/1328184
Therefore, the GCF of 3/39,7/88,3/27,68/946 is 1/1328184.
To find the highest common factor of 3,7,3,68, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 7 are 1, 7
The factors of 3 are 1, 3
The factors of 68 are 1, 2, 4, 17, 34, 68
The HCF of 3,7,3,68 is 1.
Lets's calculate GCF of 3,7,3,68
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3
:1,3
Now, list down the factors of 7
:1,7
Now, list down the factors of 3
:1,3
Now, list down the factors of 68
:1,2,4,17,34,68
Greatest Common Factor
We found the factors 3,7,3,68 . The biggest common factor number is the GCF number.
So the greatest common factor 3,7,3,68 is 1.
Lets's calculate LCM of 39,88,27,946
2 | 39, 88, 27, 946 |
3 | 39, 44, 27, 473 |
11 | 13, 44, 9, 473 |
13, 4, 9, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 13 x 4 x 9 x 43 = 1328184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1328184
Therefore, the GCF of Fractions 3/39,7/88,3/27,68/946 is 1/1328184
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 39,88,27,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,88,27,946) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(39,88,27,946) x common factors =1 x 66 = 66
LCM(39,88,27,946) = ( 39 × 88 × 27 × 946 ) / 66
LCM(39,88,27,946) = 87660144 / 66
LCM(39,88,27,946) = 1328184
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3,7,3,68?
The HCF of 3,7,3,68 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 3/39, 7/88, 3/27, 68/946?
Answer: GCF of Numerators as per given numbers 3/39, 7/88, 3/27, 68/946 is
GCF of Numerators i.e. for 3,7,3,68 is 1
LCM of denominators i.e. for 39,88,27,946 is 1328184.
Thus, GCF of Fractions is 1/1328184.Finally, GCF of Fractions for 3/39, 7/88, 3/27, 68/946 is 1/1328184.