Use our free GCF of Fractions Calculator tool to compute the GCF of 82/49, 922/52, 270/836 i.e 2/532532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/49, 922/52, 270/836.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/49,922/52,270/836
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 82/49,922/52,270/836, numerators are 82,922,270
Denominators are 49,52,836
The GCF of 82,922,270 is 2 .
LCM of 49,52,836 is 532532.
The greatest common factor of 82/49,922/52,270/836 = [GCF of 82,922,270]/[LCM of 49,52,836]= 2/532532
Therefore, the GCF of 82/49,922/52,270/836 is 2/532532.
To find the highest common factor of 82,922,270, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 922 are 1, 2, 461, 922
The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The HCF of 82,922,270 is 2.
Lets's calculate GCF of 82,922,270
2 | 82, 922, 270 |
41, 461, 135 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 82,922,270 . The biggest common factor number is the GCF number.
So the greatest common factor 82,922,270 is 2.
Lets's calculate LCM of 49,52,836
2 | 49, 52, 836 |
2 | 49, 26, 418 |
49, 13, 209 |
∴ So the LCM of the given numbers is 2 x 2 x 49 x 13 x 209 = 532532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/532532
Therefore, the GCF of Fractions 82/49,922/52,270/836 is 2/532532
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 49,52,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,52,836) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(49,52,836) x common factors =1 x 4 = 4
LCM(49,52,836) = ( 49 × 52 × 836 ) / 4
LCM(49,52,836) = 2130128 / 4
LCM(49,52,836) = 532532
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 82,922,270?
The HCF of 82,922,270 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 82/49, 922/52, 270/836?
Answer: GCF of Numerators as per given numbers 82/49, 922/52, 270/836 is
GCF of Numerators i.e. for 82,922,270 is 2
LCM of denominators i.e. for 49,52,836 is 532532.
Thus, GCF of Fractions is 2/532532.Finally, GCF of Fractions for 82/49, 922/52, 270/836 is 2/532532.