Use our free GCF of Fractions Calculator tool to compute the GCF of 482/854, 632/539 i.e 2/65758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 482/854, 632/539.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 482/854,632/539
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 482/854,632/539, numerators are 482,632
Denominators are 854,539
The GCF of 482,632 is 2 .
LCM of 854,539 is 65758.
The greatest common factor of 482/854,632/539 = [GCF of 482,632]/[LCM of 854,539]= 2/65758
Therefore, the GCF of 482/854,632/539 is 2/65758.
To find the highest common factor of 482,632, we have to find the factors of both numbers and list the highest common factor.
The factors of 482 are 1, 2, 241, 482
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
The HCF of 482,632 is 2.
Lets's calculate GCF of 482,632
2 | 482, 632 |
241, 316 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 482
:1,2,241,482
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 482,632 . The biggest common factor number is the GCF number.
So the greatest common factor 482,632 is 2.
Lets's calculate LCM of 854,539
7 | 854, 539 |
122, 77 |
∴ So the LCM of the given numbers is 7 x 122 x 77 = 65758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/65758
Therefore, the GCF of Fractions 482/854,632/539 is 2/65758
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 854,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,539) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(854,539) x common factors =7 x 1 = 7
LCM(854,539) = ( 854 × 539 ) / 7
LCM(854,539) = 460306 / 7
LCM(854,539) = 65758
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 482,632?
The HCF of 482,632 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 482/854, 632/539?
Answer: GCF of Numerators as per given numbers 482/854, 632/539 is
GCF of Numerators i.e. for 482,632 is 2
LCM of denominators i.e. for 854,539 is 65758.
Thus, GCF of Fractions is 2/65758.Finally, GCF of Fractions for 482/854, 632/539 is 2/65758.