Use our free GCF of Fractions Calculator tool to compute the GCF of 801/360, 237/254 i.e 3/45720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 801/360, 237/254.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 801/360,237/254
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 801/360,237/254, numerators are 801,237
Denominators are 360,254
The GCF of 801,237 is 3 .
LCM of 360,254 is 45720.
The greatest common factor of 801/360,237/254 = [GCF of 801,237]/[LCM of 360,254]= 3/45720
Therefore, the GCF of 801/360,237/254 is 3/45720.
To find the highest common factor of 801,237, we have to find the factors of both numbers and list the highest common factor.
The factors of 801 are 1, 3, 9, 89, 267, 801
The factors of 237 are 1, 3, 79, 237
The HCF of 801,237 is 3.
Lets's calculate GCF of 801,237
3 | 801, 237 |
267, 79 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 801
:1,3,9,89,267,801
Now, list down the factors of 237
:1,3,79,237
Greatest Common Factor
We found the factors 801,237 . The biggest common factor number is the GCF number.
So the greatest common factor 801,237 is 3.
Lets's calculate LCM of 360,254
2 | 360, 254 |
180, 127 |
∴ So the LCM of the given numbers is 2 x 180 x 127 = 45720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45720
Therefore, the GCF of Fractions 801/360,237/254 is 3/45720
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 360,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(360,254) x common factors =2 x 1 = 2
LCM(360,254) = ( 360 × 254 ) / 2
LCM(360,254) = 91440 / 2
LCM(360,254) = 45720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 801,237?
The HCF of 801,237 is 3
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 801/360, 237/254?
Answer: GCF of Numerators as per given numbers 801/360, 237/254 is
GCF of Numerators i.e. for 801,237 is 3
LCM of denominators i.e. for 360,254 is 45720.
Thus, GCF of Fractions is 3/45720.Finally, GCF of Fractions for 801/360, 237/254 is 3/45720.