GCF of 8381/586, 7880/6473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8381/586, 7880/6473 i.e 1/3793178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8381/586, 7880/6473.
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 8381/586,7880/6473?
Given fractions are 8381/586,7880/6473
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 8381/586,7880/6473, numerators are 8381,7880
Denominators are 586,6473
The GCF of 8381,7880 is 1 .
LCM of 586,6473 is 3793178.
The greatest common factor of 8381/586,7880/6473 = [GCF of 8381,7880]/[LCM of 586,6473]= 1/3793178
Therefore, the GCF of 8381/586,7880/6473 is 1/3793178.
To find the highest common factor of 8381,7880, we have to find the factors of both numbers and list the highest common factor.
The factors of 8381 are 1, 17, 29, 289, 493, 8381
The factors of 7880 are 1, 2, 4, 5, 8, 10, 20, 40, 197, 394, 788, 985, 1576, 1970, 3940, 7880
The HCF of 8381,7880 is 1.
Lets's calculate GCF of 8381,7880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8381,7880 By Matching Biggest Common Factor Method
Now, list down the factors of 8381
:1,17,29,289,493,8381
Now, list down the factors of 7880
:1,2,4,5,8,10,20,40,197,394,788,985,1576,1970,3940,7880
Greatest Common Factor
We found the factors 8381,7880 . The biggest common factor number is the GCF number.
So the greatest common factor 8381,7880 is 1.
Lets's calculate LCM of 586,6473
Given numbers has no common factors except 1. So, there LCM is their product i.e 3793178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3793178
Therefore, the GCF of Fractions 8381/586,7880/6473 is 1/3793178
Least Common Multiple of 586,6473 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 586,6473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,6473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,6473) x common factors =1 x 1 = 1
LCM(586,6473) = ( 586 × 6473 ) / 1
LCM(586,6473) = 3793178 / 1
LCM(586,6473) = 3793178
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8381/586, 7880/6473
1. What is the HCF of 8381,7880?
The HCF of 8381,7880 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 8381/586, 7880/6473?
Answer: GCF of Numerators as per given numbers 8381/586, 7880/6473 is
GCF of Numerators i.e. for 8381,7880 is 1
LCM of denominators i.e. for 586,6473 is 3793178.
Thus, GCF of Fractions is 1/3793178.Finally, GCF of Fractions for 8381/586, 7880/6473 is 1/3793178.