Use our free GCF of Fractions Calculator tool to compute the GCF of 611/504, 846/609 i.e 47/14616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 611/504, 846/609.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 611/504,846/609
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 611/504,846/609, numerators are 611,846
Denominators are 504,609
The GCF of 611,846 is 47 .
LCM of 504,609 is 14616.
The greatest common factor of 611/504,846/609 = [GCF of 611,846]/[LCM of 504,609]= 47/14616
Therefore, the GCF of 611/504,846/609 is 47/14616.
To find the highest common factor of 611,846, we have to find the factors of both numbers and list the highest common factor.
The factors of 611 are 1, 13, 47, 611
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The HCF of 611,846 is 47.
Lets's calculate GCF of 611,846
47 | 611, 846 |
13, 18 |
∴ So the GCF of the given numbers is 47 = 47
Now, list down the factors of 611
:1,13,47,611
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 611,846 . The biggest common factor number is the GCF number.
So the greatest common factor 611,846 is 47.
Lets's calculate LCM of 504,609
3 | 504, 609 |
7 | 168, 203 |
24, 29 |
∴ So the LCM of the given numbers is 3 x 7 x 24 x 29 = 14616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/14616
Therefore, the GCF of Fractions 611/504,846/609 is 47/14616
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 504,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,609) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(504,609) x common factors =21 x 1 = 21
LCM(504,609) = ( 504 × 609 ) / 21
LCM(504,609) = 306936 / 21
LCM(504,609) = 14616
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 611,846?
The HCF of 611,846 is 47
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 611/504, 846/609?
Answer: GCF of Numerators as per given numbers 611/504, 846/609 is
GCF of Numerators i.e. for 611,846 is 47
LCM of denominators i.e. for 504,609 is 14616.
Thus, GCF of Fractions is 47/14616.Finally, GCF of Fractions for 611/504, 846/609 is 47/14616.