Use our free GCF of Fractions Calculator tool to compute the GCF of 8/99, 74/919, 74/820 i.e 2/74604420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/99, 74/919, 74/820.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/99,74/919,74/820
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 8/99,74/919,74/820, numerators are 8,74,74
Denominators are 99,919,820
The GCF of 8,74,74 is 2 .
LCM of 99,919,820 is 74604420.
The greatest common factor of 8/99,74/919,74/820 = [GCF of 8,74,74]/[LCM of 99,919,820]= 2/74604420
Therefore, the GCF of 8/99,74/919,74/820 is 2/74604420.
To find the highest common factor of 8,74,74, 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 74 are 1, 2, 37, 74
The factors of 74 are 1, 2, 37, 74
The HCF of 8,74,74 is 2.
Lets's calculate GCF of 8,74,74
2 | 8, 74, 74 |
4, 37, 37 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 74
:1,2,37,74
Greatest Common Factor
We found the factors 8,74,74 . The biggest common factor number is the GCF number.
So the greatest common factor 8,74,74 is 2.
Lets's calculate LCM of 99,919,820
Given numbers has no common factors except 1. So, there LCM is their product i.e 74604420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74604420
Therefore, the GCF of Fractions 8/99,74/919,74/820 is 2/74604420
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 99,919,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,919,820) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,919,820) x common factors =1 x 1 = 1
LCM(99,919,820) = ( 99 × 919 × 820 ) / 1
LCM(99,919,820) = 74604420 / 1
LCM(99,919,820) = 74604420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8,74,74?
The HCF of 8,74,74 is 2
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 8/99, 74/919, 74/820?
Answer: GCF of Numerators as per given numbers 8/99, 74/919, 74/820 is
GCF of Numerators i.e. for 8,74,74 is 2
LCM of denominators i.e. for 99,919,820 is 74604420.
Thus, GCF of Fractions is 2/74604420.Finally, GCF of Fractions for 8/99, 74/919, 74/820 is 2/74604420.