Use our free GCF of Fractions Calculator tool to compute the GCF of 23/52, 535/96, 473/503 i.e 1/627744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/52, 535/96, 473/503.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/52,535/96,473/503
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 23/52,535/96,473/503, numerators are 23,535,473
Denominators are 52,96,503
The GCF of 23,535,473 is 1 .
LCM of 52,96,503 is 627744.
The greatest common factor of 23/52,535/96,473/503 = [GCF of 23,535,473]/[LCM of 52,96,503]= 1/627744
Therefore, the GCF of 23/52,535/96,473/503 is 1/627744.
To find the highest common factor of 23,535,473, we have to find the factors of both numbers and list the highest common factor.
The factors of 23 are 1, 23
The factors of 535 are 1, 5, 107, 535
The factors of 473 are 1, 11, 43, 473
The HCF of 23,535,473 is 1.
Lets's calculate GCF of 23,535,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 23
:1,23
Now, list down the factors of 535
:1,5,107,535
Now, list down the factors of 473
:1,11,43,473
Greatest Common Factor
We found the factors 23,535,473 . The biggest common factor number is the GCF number.
So the greatest common factor 23,535,473 is 1.
Lets's calculate LCM of 52,96,503
2 | 52, 96, 503 |
2 | 26, 48, 503 |
13, 24, 503 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 24 x 503 = 627744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/627744
Therefore, the GCF of Fractions 23/52,535/96,473/503 is 1/627744
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 52,96,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,96,503) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(52,96,503) x common factors =1 x 4 = 4
LCM(52,96,503) = ( 52 × 96 × 503 ) / 4
LCM(52,96,503) = 2510976 / 4
LCM(52,96,503) = 627744
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 23,535,473?
The HCF of 23,535,473 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 23/52, 535/96, 473/503?
Answer: GCF of Numerators as per given numbers 23/52, 535/96, 473/503 is
GCF of Numerators i.e. for 23,535,473 is 1
LCM of denominators i.e. for 52,96,503 is 627744.
Thus, GCF of Fractions is 1/627744.Finally, GCF of Fractions for 23/52, 535/96, 473/503 is 1/627744.