Use our free GCF of Fractions Calculator tool to compute the GCF of 8/87, 54/41, 26/101, 538/416 i.e 2/149871072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/87, 54/41, 26/101, 538/416.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/87,54/41,26/101,538/416
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 8/87,54/41,26/101,538/416, numerators are 8,54,26,538
Denominators are 87,41,101,416
The GCF of 8,54,26,538 is 2 .
LCM of 87,41,101,416 is 149871072.
The greatest common factor of 8/87,54/41,26/101,538/416 = [GCF of 8,54,26,538]/[LCM of 87,41,101,416]= 2/149871072
Therefore, the GCF of 8/87,54/41,26/101,538/416 is 2/149871072.
To find the highest common factor of 8,54,26,538, 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 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 26 are 1, 2, 13, 26
The factors of 538 are 1, 2, 269, 538
The HCF of 8,54,26,538 is 2.
Lets's calculate GCF of 8,54,26,538
2 | 8, 54, 26, 538 |
4, 27, 13, 269 |
∴ 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 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 538
:1,2,269,538
Greatest Common Factor
We found the factors 8,54,26,538 . The biggest common factor number is the GCF number.
So the greatest common factor 8,54,26,538 is 2.
Lets's calculate LCM of 87,41,101,416
Given numbers has no common factors except 1. So, there LCM is their product i.e 149871072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/149871072
Therefore, the GCF of Fractions 8/87,54/41,26/101,538/416 is 2/149871072
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 87,41,101,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,41,101,416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,41,101,416) x common factors =1 x 1 = 1
LCM(87,41,101,416) = ( 87 × 41 × 101 × 416 ) / 1
LCM(87,41,101,416) = 149871072 / 1
LCM(87,41,101,416) = 149871072
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8,54,26,538?
The HCF of 8,54,26,538 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 8/87, 54/41, 26/101, 538/416?
Answer: GCF of Numerators as per given numbers 8/87, 54/41, 26/101, 538/416 is
GCF of Numerators i.e. for 8,54,26,538 is 2
LCM of denominators i.e. for 87,41,101,416 is 149871072.
Thus, GCF of Fractions is 2/149871072.Finally, GCF of Fractions for 8/87, 54/41, 26/101, 538/416 is 2/149871072.