Use our free GCF of Fractions Calculator tool to compute the GCF of 501/472, 762/748 i.e 3/88264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/472, 762/748.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 501/472,762/748
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 501/472,762/748, numerators are 501,762
Denominators are 472,748
The GCF of 501,762 is 3 .
LCM of 472,748 is 88264.
The greatest common factor of 501/472,762/748 = [GCF of 501,762]/[LCM of 472,748]= 3/88264
Therefore, the GCF of 501/472,762/748 is 3/88264.
To find the highest common factor of 501,762, we have to find the factors of both numbers and list the highest common factor.
The factors of 501 are 1, 3, 167, 501
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 501,762 is 3.
Lets's calculate GCF of 501,762
3 | 501, 762 |
167, 254 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 501
:1,3,167,501
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 501,762 . The biggest common factor number is the GCF number.
So the greatest common factor 501,762 is 3.
Lets's calculate LCM of 472,748
2 | 472, 748 |
2 | 236, 374 |
118, 187 |
∴ So the LCM of the given numbers is 2 x 2 x 118 x 187 = 88264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/88264
Therefore, the GCF of Fractions 501/472,762/748 is 3/88264
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 472,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,748) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(472,748) x common factors =4 x 1 = 4
LCM(472,748) = ( 472 × 748 ) / 4
LCM(472,748) = 353056 / 4
LCM(472,748) = 88264
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 501,762?
The HCF of 501,762 is 3
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 501/472, 762/748?
Answer: GCF of Numerators as per given numbers 501/472, 762/748 is
GCF of Numerators i.e. for 501,762 is 3
LCM of denominators i.e. for 472,748 is 88264.
Thus, GCF of Fractions is 3/88264.Finally, GCF of Fractions for 501/472, 762/748 is 3/88264.