Use our free GCF of Fractions Calculator tool to compute the GCF of 284/744, 533/652 i.e 1/121272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 284/744, 533/652.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 284/744,533/652
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 284/744,533/652, numerators are 284,533
Denominators are 744,652
The GCF of 284,533 is 1 .
LCM of 744,652 is 121272.
The greatest common factor of 284/744,533/652 = [GCF of 284,533]/[LCM of 744,652]= 1/121272
Therefore, the GCF of 284/744,533/652 is 1/121272.
To find the highest common factor of 284,533, we have to find the factors of both numbers and list the highest common factor.
The factors of 284 are 1, 2, 4, 71, 142, 284
The factors of 533 are 1, 13, 41, 533
The HCF of 284,533 is 1.
Lets's calculate GCF of 284,533
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 284
:1,2,4,71,142,284
Now, list down the factors of 533
:1,13,41,533
Greatest Common Factor
We found the factors 284,533 . The biggest common factor number is the GCF number.
So the greatest common factor 284,533 is 1.
Lets's calculate LCM of 744,652
2 | 744, 652 |
2 | 372, 326 |
186, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 186 x 163 = 121272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121272
Therefore, the GCF of Fractions 284/744,533/652 is 1/121272
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 744,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,652) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(744,652) x common factors =4 x 1 = 4
LCM(744,652) = ( 744 × 652 ) / 4
LCM(744,652) = 485088 / 4
LCM(744,652) = 121272
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 284,533?
The HCF of 284,533 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 284/744, 533/652?
Answer: GCF of Numerators as per given numbers 284/744, 533/652 is
GCF of Numerators i.e. for 284,533 is 1
LCM of denominators i.e. for 744,652 is 121272.
Thus, GCF of Fractions is 1/121272.Finally, GCF of Fractions for 284/744, 533/652 is 1/121272.