Use our free GCF of Fractions Calculator tool to compute the GCF of 271/636, 242/574 i.e 1/182532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 271/636, 242/574.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 271/636,242/574
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 271/636,242/574, numerators are 271,242
Denominators are 636,574
The GCF of 271,242 is 1 .
LCM of 636,574 is 182532.
The greatest common factor of 271/636,242/574 = [GCF of 271,242]/[LCM of 636,574]= 1/182532
Therefore, the GCF of 271/636,242/574 is 1/182532.
To find the highest common factor of 271,242, we have to find the factors of both numbers and list the highest common factor.
The factors of 271 are 1, 271
The factors of 242 are 1, 2, 11, 22, 121, 242
The HCF of 271,242 is 1.
Lets's calculate GCF of 271,242
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 271
:1,271
Now, list down the factors of 242
:1,2,11,22,121,242
Greatest Common Factor
We found the factors 271,242 . The biggest common factor number is the GCF number.
So the greatest common factor 271,242 is 1.
Lets's calculate LCM of 636,574
2 | 636, 574 |
318, 287 |
∴ So the LCM of the given numbers is 2 x 318 x 287 = 182532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182532
Therefore, the GCF of Fractions 271/636,242/574 is 1/182532
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 636,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(636,574) x common factors =2 x 1 = 2
LCM(636,574) = ( 636 × 574 ) / 2
LCM(636,574) = 365064 / 2
LCM(636,574) = 182532
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 271,242?
The HCF of 271,242 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 271/636, 242/574?
Answer: GCF of Numerators as per given numbers 271/636, 242/574 is
GCF of Numerators i.e. for 271,242 is 1
LCM of denominators i.e. for 636,574 is 182532.
Thus, GCF of Fractions is 1/182532.Finally, GCF of Fractions for 271/636, 242/574 is 1/182532.