Use our free GCF of Fractions Calculator tool to compute the GCF of 4503/498, 2936/456 i.e 1/37848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4503/498, 2936/456.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4503/498,2936/456
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 4503/498,2936/456, numerators are 4503,2936
Denominators are 498,456
The GCF of 4503,2936 is 1 .
LCM of 498,456 is 37848.
The greatest common factor of 4503/498,2936/456 = [GCF of 4503,2936]/[LCM of 498,456]= 1/37848
Therefore, the GCF of 4503/498,2936/456 is 1/37848.
To find the highest common factor of 4503,2936, we have to find the factors of both numbers and list the highest common factor.
The factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503
The factors of 2936 are 1, 2, 4, 8, 367, 734, 1468, 2936
The HCF of 4503,2936 is 1.
Lets's calculate GCF of 4503,2936
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4503
:1,3,19,57,79,237,1501,4503
Now, list down the factors of 2936
:1,2,4,8,367,734,1468,2936
Greatest Common Factor
We found the factors 4503,2936 . The biggest common factor number is the GCF number.
So the greatest common factor 4503,2936 is 1.
Lets's calculate LCM of 498,456
2 | 498, 456 |
3 | 249, 228 |
83, 76 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 76 = 37848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37848
Therefore, the GCF of Fractions 4503/498,2936/456 is 1/37848
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 498,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,456) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(498,456) x common factors =6 x 1 = 6
LCM(498,456) = ( 498 × 456 ) / 6
LCM(498,456) = 227088 / 6
LCM(498,456) = 37848
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4503,2936?
The HCF of 4503,2936 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 4503/498, 2936/456?
Answer: GCF of Numerators as per given numbers 4503/498, 2936/456 is
GCF of Numerators i.e. for 4503,2936 is 1
LCM of denominators i.e. for 498,456 is 37848.
Thus, GCF of Fractions is 1/37848.Finally, GCF of Fractions for 4503/498, 2936/456 is 1/37848.