Use our free GCF of Fractions Calculator tool to compute the GCF of 13/537, 63/760, 442/569 i.e 1/232220280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/537, 63/760, 442/569.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/537,63/760,442/569
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 13/537,63/760,442/569, numerators are 13,63,442
Denominators are 537,760,569
The GCF of 13,63,442 is 1 .
LCM of 537,760,569 is 232220280.
The greatest common factor of 13/537,63/760,442/569 = [GCF of 13,63,442]/[LCM of 537,760,569]= 1/232220280
Therefore, the GCF of 13/537,63/760,442/569 is 1/232220280.
To find the highest common factor of 13,63,442, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The HCF of 13,63,442 is 1.
Lets's calculate GCF of 13,63,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 13
:1,13
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 13,63,442 . The biggest common factor number is the GCF number.
So the greatest common factor 13,63,442 is 1.
Lets's calculate LCM of 537,760,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 232220280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232220280
Therefore, the GCF of Fractions 13/537,63/760,442/569 is 1/232220280
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 537,760,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,760,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,760,569) x common factors =1 x 1 = 1
LCM(537,760,569) = ( 537 × 760 × 569 ) / 1
LCM(537,760,569) = 232220280 / 1
LCM(537,760,569) = 232220280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 13,63,442?
The HCF of 13,63,442 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 13/537, 63/760, 442/569?
Answer: GCF of Numerators as per given numbers 13/537, 63/760, 442/569 is
GCF of Numerators i.e. for 13,63,442 is 1
LCM of denominators i.e. for 537,760,569 is 232220280.
Thus, GCF of Fractions is 1/232220280.Finally, GCF of Fractions for 13/537, 63/760, 442/569 is 1/232220280.