Use our free GCF of Fractions Calculator tool to compute the GCF of 87/714, 88/326, 998/612 i.e 1/698292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/714, 88/326, 998/612.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/714,88/326,998/612
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 87/714,88/326,998/612, numerators are 87,88,998
Denominators are 714,326,612
The GCF of 87,88,998 is 1 .
LCM of 714,326,612 is 698292.
The greatest common factor of 87/714,88/326,998/612 = [GCF of 87,88,998]/[LCM of 714,326,612]= 1/698292
Therefore, the GCF of 87/714,88/326,998/612 is 1/698292.
To find the highest common factor of 87,88,998, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 998 are 1, 2, 499, 998
The HCF of 87,88,998 is 1.
Lets's calculate GCF of 87,88,998
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 998
:1,2,499,998
Greatest Common Factor
We found the factors 87,88,998 . The biggest common factor number is the GCF number.
So the greatest common factor 87,88,998 is 1.
Lets's calculate LCM of 714,326,612
2 | 714, 326, 612 |
3 | 357, 163, 306 |
17 | 119, 163, 102 |
7, 163, 6 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 7 x 163 x 6 = 698292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698292
Therefore, the GCF of Fractions 87/714,88/326,998/612 is 1/698292
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 714,326,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,326,612) = 2
common factors(in case of two or more numbers have common factors) = 102
GCF(714,326,612) x common factors =2 x 102 = 204
LCM(714,326,612) = ( 714 × 326 × 612 ) / 204
LCM(714,326,612) = 142451568 / 204
LCM(714,326,612) = 698292
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,88,998?
The HCF of 87,88,998 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 87/714, 88/326, 998/612?
Answer: GCF of Numerators as per given numbers 87/714, 88/326, 998/612 is
GCF of Numerators i.e. for 87,88,998 is 1
LCM of denominators i.e. for 714,326,612 is 698292.
Thus, GCF of Fractions is 1/698292.Finally, GCF of Fractions for 87/714, 88/326, 998/612 is 1/698292.