GCF of 3145/811, 4902/4958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3145/811, 4902/4958 i.e 1/4020938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3145/811, 4902/4958.
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 3145/811,4902/4958?
Given fractions are 3145/811,4902/4958
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 3145/811,4902/4958, numerators are 3145,4902
Denominators are 811,4958
The GCF of 3145,4902 is 1 .
LCM of 811,4958 is 4020938.
The greatest common factor of 3145/811,4902/4958 = [GCF of 3145,4902]/[LCM of 811,4958]= 1/4020938
Therefore, the GCF of 3145/811,4902/4958 is 1/4020938.
To find the highest common factor of 3145,4902, we have to find the factors of both numbers and list the highest common factor.
The factors of 3145 are 1, 5, 17, 37, 85, 185, 629, 3145
The factors of 4902 are 1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 817, 1634, 2451, 4902
The HCF of 3145,4902 is 1.
Lets's calculate GCF of 3145,4902
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3145,4902 By Matching Biggest Common Factor Method
Now, list down the factors of 3145
:1,5,17,37,85,185,629,3145
Now, list down the factors of 4902
:1,2,3,6,19,38,43,57,86,114,129,258,817,1634,2451,4902
Greatest Common Factor
We found the factors 3145,4902 . The biggest common factor number is the GCF number.
So the greatest common factor 3145,4902 is 1.
Lets's calculate LCM of 811,4958
Given numbers has no common factors except 1. So, there LCM is their product i.e 4020938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4020938
Therefore, the GCF of Fractions 3145/811,4902/4958 is 1/4020938
Least Common Multiple of 811,4958 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 811,4958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,4958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,4958) x common factors =1 x 1 = 1
LCM(811,4958) = ( 811 × 4958 ) / 1
LCM(811,4958) = 4020938 / 1
LCM(811,4958) = 4020938
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FAQs on GCF of Fractions of 3145/811, 4902/4958
1. What is the HCF of 3145,4902?
The HCF of 3145,4902 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 3145/811, 4902/4958?
Answer: GCF of Numerators as per given numbers 3145/811, 4902/4958 is
GCF of Numerators i.e. for 3145,4902 is 1
LCM of denominators i.e. for 811,4958 is 4020938.
Thus, GCF of Fractions is 1/4020938.Finally, GCF of Fractions for 3145/811, 4902/4958 is 1/4020938.