Use our free GCF of Fractions Calculator tool to compute the GCF of 2828/859, 5903/813 i.e 1/698367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2828/859, 5903/813.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2828/859,5903/813
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 2828/859,5903/813, numerators are 2828,5903
Denominators are 859,813
The GCF of 2828,5903 is 1 .
LCM of 859,813 is 698367.
The greatest common factor of 2828/859,5903/813 = [GCF of 2828,5903]/[LCM of 859,813]= 1/698367
Therefore, the GCF of 2828/859,5903/813 is 1/698367.
To find the highest common factor of 2828,5903, we have to find the factors of both numbers and list the highest common factor.
The factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828
The factors of 5903 are 1, 5903
The HCF of 2828,5903 is 1.
Lets's calculate GCF of 2828,5903
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2828
:1,2,4,7,14,28,101,202,404,707,1414,2828
Now, list down the factors of 5903
:1,5903
Greatest Common Factor
We found the factors 2828,5903 . The biggest common factor number is the GCF number.
So the greatest common factor 2828,5903 is 1.
Lets's calculate LCM of 859,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 698367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698367
Therefore, the GCF of Fractions 2828/859,5903/813 is 1/698367
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 859,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,813) x common factors =1 x 1 = 1
LCM(859,813) = ( 859 × 813 ) / 1
LCM(859,813) = 698367 / 1
LCM(859,813) = 698367
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2828,5903?
The HCF of 2828,5903 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 2828/859, 5903/813?
Answer: GCF of Numerators as per given numbers 2828/859, 5903/813 is
GCF of Numerators i.e. for 2828,5903 is 1
LCM of denominators i.e. for 859,813 is 698367.
Thus, GCF of Fractions is 1/698367.Finally, GCF of Fractions for 2828/859, 5903/813 is 1/698367.