Use our free GCF of Fractions Calculator tool to compute the GCF of 82/58, 338/43, 963/130 i.e 1/162110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/58, 338/43, 963/130.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/58,338/43,963/130
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 82/58,338/43,963/130, numerators are 82,338,963
Denominators are 58,43,130
The GCF of 82,338,963 is 1 .
LCM of 58,43,130 is 162110.
The greatest common factor of 82/58,338/43,963/130 = [GCF of 82,338,963]/[LCM of 58,43,130]= 1/162110
Therefore, the GCF of 82/58,338/43,963/130 is 1/162110.
To find the highest common factor of 82,338,963, 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 338 are 1, 2, 13, 26, 169, 338
The factors of 963 are 1, 3, 9, 107, 321, 963
The HCF of 82,338,963 is 1.
Lets's calculate GCF of 82,338,963
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 338
:1,2,13,26,169,338
Now, list down the factors of 963
:1,3,9,107,321,963
Greatest Common Factor
We found the factors 82,338,963 . The biggest common factor number is the GCF number.
So the greatest common factor 82,338,963 is 1.
Lets's calculate LCM of 58,43,130
2 | 58, 43, 130 |
29, 43, 65 |
∴ So the LCM of the given numbers is 2 x 29 x 43 x 65 = 162110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162110
Therefore, the GCF of Fractions 82/58,338/43,963/130 is 1/162110
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 58,43,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,43,130) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,43,130) x common factors =1 x 2 = 2
LCM(58,43,130) = ( 58 × 43 × 130 ) / 2
LCM(58,43,130) = 324220 / 2
LCM(58,43,130) = 162110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 82,338,963?
The HCF of 82,338,963 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 82/58, 338/43, 963/130?
Answer: GCF of Numerators as per given numbers 82/58, 338/43, 963/130 is
GCF of Numerators i.e. for 82,338,963 is 1
LCM of denominators i.e. for 58,43,130 is 162110.
Thus, GCF of Fractions is 1/162110.Finally, GCF of Fractions for 82/58, 338/43, 963/130 is 1/162110.