GCF of 8903/796, 4159/4857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8903/796, 4159/4857 i.e 1/3866172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8903/796, 4159/4857.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8903/796,4159/4857?
Given fractions are 8903/796,4159/4857
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 8903/796,4159/4857, numerators are 8903,4159
Denominators are 796,4857
The GCF of 8903,4159 is 1 .
LCM of 796,4857 is 3866172.
The greatest common factor of 8903/796,4159/4857 = [GCF of 8903,4159]/[LCM of 796,4857]= 1/3866172
Therefore, the GCF of 8903/796,4159/4857 is 1/3866172.
To find the highest common factor of 8903,4159, we have to find the factors of both numbers and list the highest common factor.
The factors of 8903 are 1, 29, 307, 8903
The factors of 4159 are 1, 4159
The HCF of 8903,4159 is 1.
Lets's calculate GCF of 8903,4159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8903,4159 By Matching Biggest Common Factor Method
Now, list down the factors of 8903
:1,29,307,8903
Now, list down the factors of 4159
:1,4159
Greatest Common Factor
We found the factors 8903,4159 . The biggest common factor number is the GCF number.
So the greatest common factor 8903,4159 is 1.
Lets's calculate LCM of 796,4857
Given numbers has no common factors except 1. So, there LCM is their product i.e 3866172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3866172
Therefore, the GCF of Fractions 8903/796,4159/4857 is 1/3866172
Least Common Multiple of 796,4857 with GCF Formula
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 796,4857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,4857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(796,4857) x common factors =1 x 1 = 1
LCM(796,4857) = ( 796 × 4857 ) / 1
LCM(796,4857) = 3866172 / 1
LCM(796,4857) = 3866172
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FAQs on GCF of Fractions of 8903/796, 4159/4857
1. What is the HCF of 8903,4159?
The HCF of 8903,4159 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 8903/796, 4159/4857?
Answer: GCF of Numerators as per given numbers 8903/796, 4159/4857 is
GCF of Numerators i.e. for 8903,4159 is 1
LCM of denominators i.e. for 796,4857 is 3866172.
Thus, GCF of Fractions is 1/3866172.Finally, GCF of Fractions for 8903/796, 4159/4857 is 1/3866172.