Use our free GCF of Fractions Calculator tool to compute the GCF of 88/350, 538/944, 102/228 i.e 2/9416400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/350, 538/944, 102/228.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/350,538/944,102/228
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 88/350,538/944,102/228, numerators are 88,538,102
Denominators are 350,944,228
The GCF of 88,538,102 is 2 .
LCM of 350,944,228 is 9416400.
The greatest common factor of 88/350,538/944,102/228 = [GCF of 88,538,102]/[LCM of 350,944,228]= 2/9416400
Therefore, the GCF of 88/350,538/944,102/228 is 2/9416400.
To find the highest common factor of 88,538,102, we have to find the factors of both numbers and list the highest common factor.
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 538 are 1, 2, 269, 538
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The HCF of 88,538,102 is 2.
Lets's calculate GCF of 88,538,102
2 | 88, 538, 102 |
44, 269, 51 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 538
:1,2,269,538
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 88,538,102 . The biggest common factor number is the GCF number.
So the greatest common factor 88,538,102 is 2.
Lets's calculate LCM of 350,944,228
2 | 350, 944, 228 |
2 | 175, 472, 114 |
175, 236, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 175 x 236 x 57 = 9416400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9416400
Therefore, the GCF of Fractions 88/350,538/944,102/228 is 2/9416400
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 350,944,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,944,228) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(350,944,228) x common factors =2 x 4 = 8
LCM(350,944,228) = ( 350 × 944 × 228 ) / 8
LCM(350,944,228) = 75331200 / 8
LCM(350,944,228) = 9416400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 88,538,102?
The HCF of 88,538,102 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 88/350, 538/944, 102/228?
Answer: GCF of Numerators as per given numbers 88/350, 538/944, 102/228 is
GCF of Numerators i.e. for 88,538,102 is 2
LCM of denominators i.e. for 350,944,228 is 9416400.
Thus, GCF of Fractions is 2/9416400.Finally, GCF of Fractions for 88/350, 538/944, 102/228 is 2/9416400.