Use our free GCF of Fractions Calculator tool to compute the GCF of 546/47, 793/798 i.e 13/37506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 546/47, 793/798.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 546/47,793/798
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 546/47,793/798, numerators are 546,793
Denominators are 47,798
The GCF of 546,793 is 13 .
LCM of 47,798 is 37506.
The greatest common factor of 546/47,793/798 = [GCF of 546,793]/[LCM of 47,798]= 13/37506
Therefore, the GCF of 546/47,793/798 is 13/37506.
To find the highest common factor of 546,793, we have to find the factors of both numbers and list the highest common factor.
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The factors of 793 are 1, 13, 61, 793
The HCF of 546,793 is 13.
Lets's calculate GCF of 546,793
13 | 546, 793 |
42, 61 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Now, list down the factors of 793
:1,13,61,793
Greatest Common Factor
We found the factors 546,793 . The biggest common factor number is the GCF number.
So the greatest common factor 546,793 is 13.
Lets's calculate LCM of 47,798
Given numbers has no common factors except 1. So, there LCM is their product i.e 37506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/37506
Therefore, the GCF of Fractions 546/47,793/798 is 13/37506
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 47,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,798) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,798) x common factors =1 x 1 = 1
LCM(47,798) = ( 47 × 798 ) / 1
LCM(47,798) = 37506 / 1
LCM(47,798) = 37506
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 546,793?
The HCF of 546,793 is 13
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 546/47, 793/798?
Answer: GCF of Numerators as per given numbers 546/47, 793/798 is
GCF of Numerators i.e. for 546,793 is 13
LCM of denominators i.e. for 47,798 is 37506.
Thus, GCF of Fractions is 13/37506.Finally, GCF of Fractions for 546/47, 793/798 is 13/37506.