Use our free GCF of Fractions Calculator tool to compute the GCF of 15/85, 609/92, 439/375 i.e 1/586500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/85, 609/92, 439/375.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/85,609/92,439/375
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 15/85,609/92,439/375, numerators are 15,609,439
Denominators are 85,92,375
The GCF of 15,609,439 is 1 .
LCM of 85,92,375 is 586500.
The greatest common factor of 15/85,609/92,439/375 = [GCF of 15,609,439]/[LCM of 85,92,375]= 1/586500
Therefore, the GCF of 15/85,609/92,439/375 is 1/586500.
To find the highest common factor of 15,609,439, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The factors of 439 are 1, 439
The HCF of 15,609,439 is 1.
Lets's calculate GCF of 15,609,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Now, list down the factors of 439
:1,439
Greatest Common Factor
We found the factors 15,609,439 . The biggest common factor number is the GCF number.
So the greatest common factor 15,609,439 is 1.
Lets's calculate LCM of 85,92,375
5 | 85, 92, 375 |
17, 92, 75 |
∴ So the LCM of the given numbers is 5 x 17 x 92 x 75 = 586500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586500
Therefore, the GCF of Fractions 15/85,609/92,439/375 is 1/586500
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 85,92,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,92,375) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(85,92,375) x common factors =1 x 5 = 5
LCM(85,92,375) = ( 85 × 92 × 375 ) / 5
LCM(85,92,375) = 2932500 / 5
LCM(85,92,375) = 586500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 15,609,439?
The HCF of 15,609,439 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 15/85, 609/92, 439/375?
Answer: GCF of Numerators as per given numbers 15/85, 609/92, 439/375 is
GCF of Numerators i.e. for 15,609,439 is 1
LCM of denominators i.e. for 85,92,375 is 586500.
Thus, GCF of Fractions is 1/586500.Finally, GCF of Fractions for 15/85, 609/92, 439/375 is 1/586500.