Use our free GCF of Fractions Calculator tool to compute the GCF of 293/343, 283/874 i.e 1/299782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 293/343, 283/874.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 293/343,283/874
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 293/343,283/874, numerators are 293,283
Denominators are 343,874
The GCF of 293,283 is 1 .
LCM of 343,874 is 299782.
The greatest common factor of 293/343,283/874 = [GCF of 293,283]/[LCM of 343,874]= 1/299782
Therefore, the GCF of 293/343,283/874 is 1/299782.
To find the highest common factor of 293,283, we have to find the factors of both numbers and list the highest common factor.
The factors of 293 are 1, 293
The factors of 283 are 1, 283
The HCF of 293,283 is 1.
Lets's calculate GCF of 293,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 293
:1,293
Now, list down the factors of 283
:1,283
Greatest Common Factor
We found the factors 293,283 . The biggest common factor number is the GCF number.
So the greatest common factor 293,283 is 1.
Lets's calculate LCM of 343,874
Given numbers has no common factors except 1. So, there LCM is their product i.e 299782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299782
Therefore, the GCF of Fractions 293/343,283/874 is 1/299782
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 343,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,874) x common factors =1 x 1 = 1
LCM(343,874) = ( 343 × 874 ) / 1
LCM(343,874) = 299782 / 1
LCM(343,874) = 299782
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 293,283?
The HCF of 293,283 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 293/343, 283/874?
Answer: GCF of Numerators as per given numbers 293/343, 283/874 is
GCF of Numerators i.e. for 293,283 is 1
LCM of denominators i.e. for 343,874 is 299782.
Thus, GCF of Fractions is 1/299782.Finally, GCF of Fractions for 293/343, 283/874 is 1/299782.