Use our free GCF of Fractions Calculator tool to compute the GCF of 8183/534, 3310/1703 i.e 1/909402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8183/534, 3310/1703.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8183/534,3310/1703
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 8183/534,3310/1703, numerators are 8183,3310
Denominators are 534,1703
The GCF of 8183,3310 is 1 .
LCM of 534,1703 is 909402.
The greatest common factor of 8183/534,3310/1703 = [GCF of 8183,3310]/[LCM of 534,1703]= 1/909402
Therefore, the GCF of 8183/534,3310/1703 is 1/909402.
To find the highest common factor of 8183,3310, we have to find the factors of both numbers and list the highest common factor.
The factors of 8183 are 1, 7, 49, 167, 1169, 8183
The factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310
The HCF of 8183,3310 is 1.
Lets's calculate GCF of 8183,3310
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8183
:1,7,49,167,1169,8183
Now, list down the factors of 3310
:1,2,5,10,331,662,1655,3310
Greatest Common Factor
We found the factors 8183,3310 . The biggest common factor number is the GCF number.
So the greatest common factor 8183,3310 is 1.
Lets's calculate LCM of 534,1703
Given numbers has no common factors except 1. So, there LCM is their product i.e 909402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/909402
Therefore, the GCF of Fractions 8183/534,3310/1703 is 1/909402
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 534,1703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,1703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(534,1703) x common factors =1 x 1 = 1
LCM(534,1703) = ( 534 × 1703 ) / 1
LCM(534,1703) = 909402 / 1
LCM(534,1703) = 909402
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8183,3310?
The HCF of 8183,3310 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 8183/534, 3310/1703?
Answer: GCF of Numerators as per given numbers 8183/534, 3310/1703 is
GCF of Numerators i.e. for 8183,3310 is 1
LCM of denominators i.e. for 534,1703 is 909402.
Thus, GCF of Fractions is 1/909402.Finally, GCF of Fractions for 8183/534, 3310/1703 is 1/909402.