Use our free GCF of Fractions Calculator tool to compute the GCF of 506/240, 958/839 i.e 2/201360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 506/240, 958/839.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 506/240,958/839
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 506/240,958/839, numerators are 506,958
Denominators are 240,839
The GCF of 506,958 is 2 .
LCM of 240,839 is 201360.
The greatest common factor of 506/240,958/839 = [GCF of 506,958]/[LCM of 240,839]= 2/201360
Therefore, the GCF of 506/240,958/839 is 2/201360.
To find the highest common factor of 506,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506
The factors of 958 are 1, 2, 479, 958
The HCF of 506,958 is 2.
Lets's calculate GCF of 506,958
2 | 506, 958 |
253, 479 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 506
:1,2,11,22,23,46,253,506
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 506,958 . The biggest common factor number is the GCF number.
So the greatest common factor 506,958 is 2.
Lets's calculate LCM of 240,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 201360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/201360
Therefore, the GCF of Fractions 506/240,958/839 is 2/201360
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 240,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(240,839) x common factors =1 x 1 = 1
LCM(240,839) = ( 240 × 839 ) / 1
LCM(240,839) = 201360 / 1
LCM(240,839) = 201360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 506,958?
The HCF of 506,958 is 2
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 506/240, 958/839?
Answer: GCF of Numerators as per given numbers 506/240, 958/839 is
GCF of Numerators i.e. for 506,958 is 2
LCM of denominators i.e. for 240,839 is 201360.
Thus, GCF of Fractions is 2/201360.Finally, GCF of Fractions for 506/240, 958/839 is 2/201360.