Use our free GCF of Fractions Calculator tool to compute the GCF of 55/15, 535/94, 939/455 i.e 1/128310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/15, 535/94, 939/455.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/15,535/94,939/455
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 55/15,535/94,939/455, numerators are 55,535,939
Denominators are 15,94,455
The GCF of 55,535,939 is 1 .
LCM of 15,94,455 is 128310.
The greatest common factor of 55/15,535/94,939/455 = [GCF of 55,535,939]/[LCM of 15,94,455]= 1/128310
Therefore, the GCF of 55/15,535/94,939/455 is 1/128310.
To find the highest common factor of 55,535,939, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 535 are 1, 5, 107, 535
The factors of 939 are 1, 3, 313, 939
The HCF of 55,535,939 is 1.
Lets's calculate GCF of 55,535,939
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 535
:1,5,107,535
Now, list down the factors of 939
:1,3,313,939
Greatest Common Factor
We found the factors 55,535,939 . The biggest common factor number is the GCF number.
So the greatest common factor 55,535,939 is 1.
Lets's calculate LCM of 15,94,455
5 | 15, 94, 455 |
3, 94, 91 |
∴ So the LCM of the given numbers is 5 x 3 x 94 x 91 = 128310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128310
Therefore, the GCF of Fractions 55/15,535/94,939/455 is 1/128310
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 15,94,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,94,455) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(15,94,455) x common factors =1 x 5 = 5
LCM(15,94,455) = ( 15 × 94 × 455 ) / 5
LCM(15,94,455) = 641550 / 5
LCM(15,94,455) = 128310
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 55,535,939?
The HCF of 55,535,939 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 55/15, 535/94, 939/455?
Answer: GCF of Numerators as per given numbers 55/15, 535/94, 939/455 is
GCF of Numerators i.e. for 55,535,939 is 1
LCM of denominators i.e. for 15,94,455 is 128310.
Thus, GCF of Fractions is 1/128310.Finally, GCF of Fractions for 55/15, 535/94, 939/455 is 1/128310.