Use our free GCF of Fractions Calculator tool to compute the GCF of 519/635, 887/460 i.e 1/58420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 519/635, 887/460.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 519/635,887/460
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 519/635,887/460, numerators are 519,887
Denominators are 635,460
The GCF of 519,887 is 1 .
LCM of 635,460 is 58420.
The greatest common factor of 519/635,887/460 = [GCF of 519,887]/[LCM of 635,460]= 1/58420
Therefore, the GCF of 519/635,887/460 is 1/58420.
To find the highest common factor of 519,887, we have to find the factors of both numbers and list the highest common factor.
The factors of 519 are 1, 3, 173, 519
The factors of 887 are 1, 887
The HCF of 519,887 is 1.
Lets's calculate GCF of 519,887
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 519
:1,3,173,519
Now, list down the factors of 887
:1,887
Greatest Common Factor
We found the factors 519,887 . The biggest common factor number is the GCF number.
So the greatest common factor 519,887 is 1.
Lets's calculate LCM of 635,460
5 | 635, 460 |
127, 92 |
∴ So the LCM of the given numbers is 5 x 127 x 92 = 58420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58420
Therefore, the GCF of Fractions 519/635,887/460 is 1/58420
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 635,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,460) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(635,460) x common factors =5 x 1 = 5
LCM(635,460) = ( 635 × 460 ) / 5
LCM(635,460) = 292100 / 5
LCM(635,460) = 58420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 519,887?
The HCF of 519,887 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 519/635, 887/460?
Answer: GCF of Numerators as per given numbers 519/635, 887/460 is
GCF of Numerators i.e. for 519,887 is 1
LCM of denominators i.e. for 635,460 is 58420.
Thus, GCF of Fractions is 1/58420.Finally, GCF of Fractions for 519/635, 887/460 is 1/58420.