Use our free GCF of Fractions Calculator tool to compute the GCF of 8/98, 73/29, 76/253, 140/310 i.e 1/111449030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/98, 73/29, 76/253, 140/310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/98,73/29,76/253,140/310
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 8/98,73/29,76/253,140/310, numerators are 8,73,76,140
Denominators are 98,29,253,310
The GCF of 8,73,76,140 is 1 .
LCM of 98,29,253,310 is 111449030.
The greatest common factor of 8/98,73/29,76/253,140/310 = [GCF of 8,73,76,140]/[LCM of 98,29,253,310]= 1/111449030
Therefore, the GCF of 8/98,73/29,76/253,140/310 is 1/111449030.
To find the highest common factor of 8,73,76,140, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 73 are 1, 73
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The HCF of 8,73,76,140 is 1.
Lets's calculate GCF of 8,73,76,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 73
:1,73
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 8,73,76,140 . The biggest common factor number is the GCF number.
So the greatest common factor 8,73,76,140 is 1.
Lets's calculate LCM of 98,29,253,310
2 | 98, 29, 253, 310 |
49, 29, 253, 155 |
∴ So the LCM of the given numbers is 2 x 49 x 29 x 253 x 155 = 111449030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111449030
Therefore, the GCF of Fractions 8/98,73/29,76/253,140/310 is 1/111449030
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 98,29,253,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,29,253,310) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,29,253,310) x common factors =1 x 2 = 2
LCM(98,29,253,310) = ( 98 × 29 × 253 × 310 ) / 2
LCM(98,29,253,310) = 222898060 / 2
LCM(98,29,253,310) = 111449030
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8,73,76,140?
The HCF of 8,73,76,140 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 8/98, 73/29, 76/253, 140/310?
Answer: GCF of Numerators as per given numbers 8/98, 73/29, 76/253, 140/310 is
GCF of Numerators i.e. for 8,73,76,140 is 1
LCM of denominators i.e. for 98,29,253,310 is 111449030.
Thus, GCF of Fractions is 1/111449030.Finally, GCF of Fractions for 8/98, 73/29, 76/253, 140/310 is 1/111449030.