Use our free GCF of Fractions Calculator tool to compute the GCF of 508/364, 293/434 i.e 1/11284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 508/364, 293/434.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 508/364,293/434
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 508/364,293/434, numerators are 508,293
Denominators are 364,434
The GCF of 508,293 is 1 .
LCM of 364,434 is 11284.
The greatest common factor of 508/364,293/434 = [GCF of 508,293]/[LCM of 364,434]= 1/11284
Therefore, the GCF of 508/364,293/434 is 1/11284.
To find the highest common factor of 508,293, we have to find the factors of both numbers and list the highest common factor.
The factors of 508 are 1, 2, 4, 127, 254, 508
The factors of 293 are 1, 293
The HCF of 508,293 is 1.
Lets's calculate GCF of 508,293
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 508
:1,2,4,127,254,508
Now, list down the factors of 293
:1,293
Greatest Common Factor
We found the factors 508,293 . The biggest common factor number is the GCF number.
So the greatest common factor 508,293 is 1.
Lets's calculate LCM of 364,434
2 | 364, 434 |
7 | 182, 217 |
26, 31 |
∴ So the LCM of the given numbers is 2 x 7 x 26 x 31 = 11284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11284
Therefore, the GCF of Fractions 508/364,293/434 is 1/11284
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 364,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,434) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(364,434) x common factors =14 x 1 = 14
LCM(364,434) = ( 364 × 434 ) / 14
LCM(364,434) = 157976 / 14
LCM(364,434) = 11284
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 508,293?
The HCF of 508,293 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 508/364, 293/434?
Answer: GCF of Numerators as per given numbers 508/364, 293/434 is
GCF of Numerators i.e. for 508,293 is 1
LCM of denominators i.e. for 364,434 is 11284.
Thus, GCF of Fractions is 1/11284.Finally, GCF of Fractions for 508/364, 293/434 is 1/11284.