Use our free GCF of Fractions Calculator tool to compute the GCF of 912/504, 537/413 i.e 3/29736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 912/504, 537/413.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 912/504,537/413
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 912/504,537/413, numerators are 912,537
Denominators are 504,413
The GCF of 912,537 is 3 .
LCM of 504,413 is 29736.
The greatest common factor of 912/504,537/413 = [GCF of 912,537]/[LCM of 504,413]= 3/29736
Therefore, the GCF of 912/504,537/413 is 3/29736.
To find the highest common factor of 912,537, we have to find the factors of both numbers and list the highest common factor.
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The factors of 537 are 1, 3, 179, 537
The HCF of 912,537 is 3.
Lets's calculate GCF of 912,537
3 | 912, 537 |
304, 179 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Now, list down the factors of 537
:1,3,179,537
Greatest Common Factor
We found the factors 912,537 . The biggest common factor number is the GCF number.
So the greatest common factor 912,537 is 3.
Lets's calculate LCM of 504,413
7 | 504, 413 |
72, 59 |
∴ So the LCM of the given numbers is 7 x 72 x 59 = 29736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29736
Therefore, the GCF of Fractions 912/504,537/413 is 3/29736
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 504,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,413) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(504,413) x common factors =7 x 1 = 7
LCM(504,413) = ( 504 × 413 ) / 7
LCM(504,413) = 208152 / 7
LCM(504,413) = 29736
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 912,537?
The HCF of 912,537 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 912/504, 537/413?
Answer: GCF of Numerators as per given numbers 912/504, 537/413 is
GCF of Numerators i.e. for 912,537 is 3
LCM of denominators i.e. for 504,413 is 29736.
Thus, GCF of Fractions is 3/29736.Finally, GCF of Fractions for 912/504, 537/413 is 3/29736.