Use our free GCF of Fractions Calculator tool to compute the GCF of 290/899, 547/367 i.e 1/329933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/899, 547/367.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 290/899,547/367
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 290/899,547/367, numerators are 290,547
Denominators are 899,367
The GCF of 290,547 is 1 .
LCM of 899,367 is 329933.
The greatest common factor of 290/899,547/367 = [GCF of 290,547]/[LCM of 899,367]= 1/329933
Therefore, the GCF of 290/899,547/367 is 1/329933.
To find the highest common factor of 290,547, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 547 are 1, 547
The HCF of 290,547 is 1.
Lets's calculate GCF of 290,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 547
:1,547
Greatest Common Factor
We found the factors 290,547 . The biggest common factor number is the GCF number.
So the greatest common factor 290,547 is 1.
Lets's calculate LCM of 899,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 329933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329933
Therefore, the GCF of Fractions 290/899,547/367 is 1/329933
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 899,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,367) x common factors =1 x 1 = 1
LCM(899,367) = ( 899 × 367 ) / 1
LCM(899,367) = 329933 / 1
LCM(899,367) = 329933
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 290,547?
The HCF of 290,547 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 290/899, 547/367?
Answer: GCF of Numerators as per given numbers 290/899, 547/367 is
GCF of Numerators i.e. for 290,547 is 1
LCM of denominators i.e. for 899,367 is 329933.
Thus, GCF of Fractions is 1/329933.Finally, GCF of Fractions for 290/899, 547/367 is 1/329933.