Use our free GCF of Fractions Calculator tool to compute the GCF of 373/292, 3773/532 i.e 1/38836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 373/292, 3773/532.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 373/292,3773/532
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 373/292,3773/532, numerators are 373,3773
Denominators are 292,532
The GCF of 373,3773 is 1 .
LCM of 292,532 is 38836.
The greatest common factor of 373/292,3773/532 = [GCF of 373,3773]/[LCM of 292,532]= 1/38836
Therefore, the GCF of 373/292,3773/532 is 1/38836.
To find the highest common factor of 373,3773, we have to find the factors of both numbers and list the highest common factor.
The factors of 373 are 1, 373
The factors of 3773 are 1, 7, 11, 49, 77, 343, 539, 3773
The HCF of 373,3773 is 1.
Lets's calculate GCF of 373,3773
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 373
:1,373
Now, list down the factors of 3773
:1,7,11,49,77,343,539,3773
Greatest Common Factor
We found the factors 373,3773 . The biggest common factor number is the GCF number.
So the greatest common factor 373,3773 is 1.
Lets's calculate LCM of 292,532
2 | 292, 532 |
2 | 146, 266 |
73, 133 |
∴ So the LCM of the given numbers is 2 x 2 x 73 x 133 = 38836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38836
Therefore, the GCF of Fractions 373/292,3773/532 is 1/38836
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 292,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,532) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(292,532) x common factors =4 x 1 = 4
LCM(292,532) = ( 292 × 532 ) / 4
LCM(292,532) = 155344 / 4
LCM(292,532) = 38836
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 373,3773?
The HCF of 373,3773 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 373/292, 3773/532?
Answer: GCF of Numerators as per given numbers 373/292, 3773/532 is
GCF of Numerators i.e. for 373,3773 is 1
LCM of denominators i.e. for 292,532 is 38836.
Thus, GCF of Fractions is 1/38836.Finally, GCF of Fractions for 373/292, 3773/532 is 1/38836.