Use our free GCF of Fractions Calculator tool to compute the GCF of 815/572, 735/638 i.e 5/16588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/572, 735/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 815/572,735/638
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 815/572,735/638, numerators are 815,735
Denominators are 572,638
The GCF of 815,735 is 5 .
LCM of 572,638 is 16588.
The greatest common factor of 815/572,735/638 = [GCF of 815,735]/[LCM of 572,638]= 5/16588
Therefore, the GCF of 815/572,735/638 is 5/16588.
To find the highest common factor of 815,735, we have to find the factors of both numbers and list the highest common factor.
The factors of 815 are 1, 5, 163, 815
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The HCF of 815,735 is 5.
Lets's calculate GCF of 815,735
5 | 815, 735 |
163, 147 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 815
:1,5,163,815
Now, list down the factors of 735
:1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 815,735 . The biggest common factor number is the GCF number.
So the greatest common factor 815,735 is 5.
Lets's calculate LCM of 572,638
2 | 572, 638 |
11 | 286, 319 |
26, 29 |
∴ So the LCM of the given numbers is 2 x 11 x 26 x 29 = 16588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/16588
Therefore, the GCF of Fractions 815/572,735/638 is 5/16588
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 572,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,638) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(572,638) x common factors =22 x 1 = 22
LCM(572,638) = ( 572 × 638 ) / 22
LCM(572,638) = 364936 / 22
LCM(572,638) = 16588
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 815,735?
The HCF of 815,735 is 5
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 815/572, 735/638?
Answer: GCF of Numerators as per given numbers 815/572, 735/638 is
GCF of Numerators i.e. for 815,735 is 5
LCM of denominators i.e. for 572,638 is 16588.
Thus, GCF of Fractions is 5/16588.Finally, GCF of Fractions for 815/572, 735/638 is 5/16588.