Use our free GCF of Fractions Calculator tool to compute the GCF of 532/372, 253/387 i.e 1/47988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/372, 253/387.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 532/372,253/387
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 532/372,253/387, numerators are 532,253
Denominators are 372,387
The GCF of 532,253 is 1 .
LCM of 372,387 is 47988.
The greatest common factor of 532/372,253/387 = [GCF of 532,253]/[LCM of 372,387]= 1/47988
Therefore, the GCF of 532/372,253/387 is 1/47988.
To find the highest common factor of 532,253, we have to find the factors of both numbers and list the highest common factor.
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The factors of 253 are 1, 11, 23, 253
The HCF of 532,253 is 1.
Lets's calculate GCF of 532,253
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Now, list down the factors of 253
:1,11,23,253
Greatest Common Factor
We found the factors 532,253 . The biggest common factor number is the GCF number.
So the greatest common factor 532,253 is 1.
Lets's calculate LCM of 372,387
3 | 372, 387 |
124, 129 |
∴ So the LCM of the given numbers is 3 x 124 x 129 = 47988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47988
Therefore, the GCF of Fractions 532/372,253/387 is 1/47988
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 372,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,387) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(372,387) x common factors =3 x 1 = 3
LCM(372,387) = ( 372 × 387 ) / 3
LCM(372,387) = 143964 / 3
LCM(372,387) = 47988
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 532,253?
The HCF of 532,253 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 532/372, 253/387?
Answer: GCF of Numerators as per given numbers 532/372, 253/387 is
GCF of Numerators i.e. for 532,253 is 1
LCM of denominators i.e. for 372,387 is 47988.
Thus, GCF of Fractions is 1/47988.Finally, GCF of Fractions for 532/372, 253/387 is 1/47988.