Use our free GCF of Fractions Calculator tool to compute the GCF of 252/124, 494/986 i.e 2/61132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/124, 494/986.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 252/124,494/986
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 252/124,494/986, numerators are 252,494
Denominators are 124,986
The GCF of 252,494 is 2 .
LCM of 124,986 is 61132.
The greatest common factor of 252/124,494/986 = [GCF of 252,494]/[LCM of 124,986]= 2/61132
Therefore, the GCF of 252/124,494/986 is 2/61132.
To find the highest common factor of 252,494, we have to find the factors of both numbers and list the highest common factor.
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494
The HCF of 252,494 is 2.
Lets's calculate GCF of 252,494
2 | 252, 494 |
126, 247 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Now, list down the factors of 494
:1,2,13,19,26,38,247,494
Greatest Common Factor
We found the factors 252,494 . The biggest common factor number is the GCF number.
So the greatest common factor 252,494 is 2.
Lets's calculate LCM of 124,986
2 | 124, 986 |
62, 493 |
∴ So the LCM of the given numbers is 2 x 62 x 493 = 61132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61132
Therefore, the GCF of Fractions 252/124,494/986 is 2/61132
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 124,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,986) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,986) x common factors =2 x 1 = 2
LCM(124,986) = ( 124 × 986 ) / 2
LCM(124,986) = 122264 / 2
LCM(124,986) = 61132
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 252,494?
The HCF of 252,494 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 252/124, 494/986?
Answer: GCF of Numerators as per given numbers 252/124, 494/986 is
GCF of Numerators i.e. for 252,494 is 2
LCM of denominators i.e. for 124,986 is 61132.
Thus, GCF of Fractions is 2/61132.Finally, GCF of Fractions for 252/124, 494/986 is 2/61132.