Use our free GCF of Fractions Calculator tool to compute the GCF of 96/42, 612/64, 979/302 i.e 1/202944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/42, 612/64, 979/302.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/42,612/64,979/302
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 96/42,612/64,979/302, numerators are 96,612,979
Denominators are 42,64,302
The GCF of 96,612,979 is 1 .
LCM of 42,64,302 is 202944.
The greatest common factor of 96/42,612/64,979/302 = [GCF of 96,612,979]/[LCM of 42,64,302]= 1/202944
Therefore, the GCF of 96/42,612/64,979/302 is 1/202944.
To find the highest common factor of 96,612,979, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The factors of 979 are 1, 11, 89, 979
The HCF of 96,612,979 is 1.
Lets's calculate GCF of 96,612,979
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Now, list down the factors of 979
:1,11,89,979
Greatest Common Factor
We found the factors 96,612,979 . The biggest common factor number is the GCF number.
So the greatest common factor 96,612,979 is 1.
Lets's calculate LCM of 42,64,302
2 | 42, 64, 302 |
21, 32, 151 |
∴ So the LCM of the given numbers is 2 x 21 x 32 x 151 = 202944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202944
Therefore, the GCF of Fractions 96/42,612/64,979/302 is 1/202944
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 42,64,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,64,302) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(42,64,302) x common factors =2 x 2 = 4
LCM(42,64,302) = ( 42 × 64 × 302 ) / 4
LCM(42,64,302) = 811776 / 4
LCM(42,64,302) = 202944
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,612,979?
The HCF of 96,612,979 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 96/42, 612/64, 979/302?
Answer: GCF of Numerators as per given numbers 96/42, 612/64, 979/302 is
GCF of Numerators i.e. for 96,612,979 is 1
LCM of denominators i.e. for 42,64,302 is 202944.
Thus, GCF of Fractions is 1/202944.Finally, GCF of Fractions for 96/42, 612/64, 979/302 is 1/202944.