GCF of 5081/321, 1846/8623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5081/321, 1846/8623 i.e 1/2767983 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5081/321, 1846/8623.
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 5081/321,1846/8623?
Given fractions are 5081/321,1846/8623
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 5081/321,1846/8623, numerators are 5081,1846
Denominators are 321,8623
The GCF of 5081,1846 is 1 .
LCM of 321,8623 is 2767983.
The greatest common factor of 5081/321,1846/8623 = [GCF of 5081,1846]/[LCM of 321,8623]= 1/2767983
Therefore, the GCF of 5081/321,1846/8623 is 1/2767983.
To find the highest common factor of 5081,1846, we have to find the factors of both numbers and list the highest common factor.
The factors of 5081 are 1, 5081
The factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846
The HCF of 5081,1846 is 1.
Lets's calculate GCF of 5081,1846
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5081,1846 By Matching Biggest Common Factor Method
Now, list down the factors of 5081
:1,5081
Now, list down the factors of 1846
:1,2,13,26,71,142,923,1846
Greatest Common Factor
We found the factors 5081,1846 . The biggest common factor number is the GCF number.
So the greatest common factor 5081,1846 is 1.
Lets's calculate LCM of 321,8623
Given numbers has no common factors except 1. So, there LCM is their product i.e 2767983
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2767983
Therefore, the GCF of Fractions 5081/321,1846/8623 is 1/2767983
Least Common Multiple of 321,8623 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 321,8623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,8623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,8623) x common factors =1 x 1 = 1
LCM(321,8623) = ( 321 × 8623 ) / 1
LCM(321,8623) = 2767983 / 1
LCM(321,8623) = 2767983
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FAQs on GCF of Fractions of 5081/321, 1846/8623
1. What is the HCF of 5081,1846?
The HCF of 5081,1846 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 5081/321, 1846/8623?
Answer: GCF of Numerators as per given numbers 5081/321, 1846/8623 is
GCF of Numerators i.e. for 5081,1846 is 1
LCM of denominators i.e. for 321,8623 is 2767983.
Thus, GCF of Fractions is 1/2767983.Finally, GCF of Fractions for 5081/321, 1846/8623 is 1/2767983.