Use our free GCF of Fractions Calculator tool to compute the GCF of 94/415, 177/538, 617/528 i.e 1/58943280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/415, 177/538, 617/528.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/415,177/538,617/528
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 94/415,177/538,617/528, numerators are 94,177,617
Denominators are 415,538,528
The GCF of 94,177,617 is 1 .
LCM of 415,538,528 is 58943280.
The greatest common factor of 94/415,177/538,617/528 = [GCF of 94,177,617]/[LCM of 415,538,528]= 1/58943280
Therefore, the GCF of 94/415,177/538,617/528 is 1/58943280.
To find the highest common factor of 94,177,617, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 177 are 1, 3, 59, 177
The factors of 617 are 1, 617
The HCF of 94,177,617 is 1.
Lets's calculate GCF of 94,177,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 177
:1,3,59,177
Now, list down the factors of 617
:1,617
Greatest Common Factor
We found the factors 94,177,617 . The biggest common factor number is the GCF number.
So the greatest common factor 94,177,617 is 1.
Lets's calculate LCM of 415,538,528
2 | 415, 538, 528 |
415, 269, 264 |
∴ So the LCM of the given numbers is 2 x 415 x 269 x 264 = 58943280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58943280
Therefore, the GCF of Fractions 94/415,177/538,617/528 is 1/58943280
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 415,538,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,538,528) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(415,538,528) x common factors =1 x 2 = 2
LCM(415,538,528) = ( 415 × 538 × 528 ) / 2
LCM(415,538,528) = 117886560 / 2
LCM(415,538,528) = 58943280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,177,617?
The HCF of 94,177,617 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 94/415, 177/538, 617/528?
Answer: GCF of Numerators as per given numbers 94/415, 177/538, 617/528 is
GCF of Numerators i.e. for 94,177,617 is 1
LCM of denominators i.e. for 415,538,528 is 58943280.
Thus, GCF of Fractions is 1/58943280.Finally, GCF of Fractions for 94/415, 177/538, 617/528 is 1/58943280.