Use our free GCF of Fractions Calculator tool to compute the GCF of 254/410, 117/535 i.e 1/43870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 254/410, 117/535.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 254/410,117/535
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 254/410,117/535, numerators are 254,117
Denominators are 410,535
The GCF of 254,117 is 1 .
LCM of 410,535 is 43870.
The greatest common factor of 254/410,117/535 = [GCF of 254,117]/[LCM of 410,535]= 1/43870
Therefore, the GCF of 254/410,117/535 is 1/43870.
To find the highest common factor of 254,117, we have to find the factors of both numbers and list the highest common factor.
The factors of 254 are 1, 2, 127, 254
The factors of 117 are 1, 3, 9, 13, 39, 117
The HCF of 254,117 is 1.
Lets's calculate GCF of 254,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 254
:1,2,127,254
Now, list down the factors of 117
:1,3,9,13,39,117
Greatest Common Factor
We found the factors 254,117 . The biggest common factor number is the GCF number.
So the greatest common factor 254,117 is 1.
Lets's calculate LCM of 410,535
5 | 410, 535 |
82, 107 |
∴ So the LCM of the given numbers is 5 x 82 x 107 = 43870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43870
Therefore, the GCF of Fractions 254/410,117/535 is 1/43870
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 410,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,535) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(410,535) x common factors =5 x 1 = 5
LCM(410,535) = ( 410 × 535 ) / 5
LCM(410,535) = 219350 / 5
LCM(410,535) = 43870
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 254,117?
The HCF of 254,117 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 254/410, 117/535?
Answer: GCF of Numerators as per given numbers 254/410, 117/535 is
GCF of Numerators i.e. for 254,117 is 1
LCM of denominators i.e. for 410,535 is 43870.
Thus, GCF of Fractions is 1/43870.Finally, GCF of Fractions for 254/410, 117/535 is 1/43870.