GCF of 8331/615, 7585/7884
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8331/615, 7585/7884 i.e 1/1616220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8331/615, 7585/7884.
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 8331/615,7585/7884?
Given fractions are 8331/615,7585/7884
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 8331/615,7585/7884, numerators are 8331,7585
Denominators are 615,7884
The GCF of 8331,7585 is 1 .
LCM of 615,7884 is 1616220.
The greatest common factor of 8331/615,7585/7884 = [GCF of 8331,7585]/[LCM of 615,7884]= 1/1616220
Therefore, the GCF of 8331/615,7585/7884 is 1/1616220.
To find the highest common factor of 8331,7585, we have to find the factors of both numbers and list the highest common factor.
The factors of 8331 are 1, 3, 2777, 8331
The factors of 7585 are 1, 5, 37, 41, 185, 205, 1517, 7585
The HCF of 8331,7585 is 1.
Lets's calculate GCF of 8331,7585
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8331,7585 By Matching Biggest Common Factor Method
Now, list down the factors of 8331
:1,3,2777,8331
Now, list down the factors of 7585
:1,5,37,41,185,205,1517,7585
Greatest Common Factor
We found the factors 8331,7585 . The biggest common factor number is the GCF number.
So the greatest common factor 8331,7585 is 1.
Lets's calculate LCM of 615,7884
| 3 | 615, 7884 |
| 205, 2628 |
∴ So the LCM of the given numbers is 3 x 205 x 2628 = 1616220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1616220
Therefore, the GCF of Fractions 8331/615,7585/7884 is 1/1616220
Least Common Multiple of 615,7884 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 615,7884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,7884) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(615,7884) x common factors =3 x 1 = 3
LCM(615,7884) = ( 615 × 7884 ) / 3
LCM(615,7884) = 4848660 / 3
LCM(615,7884) = 1616220
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8331/615, 7585/7884
1. What is the HCF of 8331,7585?
The HCF of 8331,7585 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 8331/615, 7585/7884?
Answer: GCF of Numerators as per given numbers 8331/615, 7585/7884 is
GCF of Numerators i.e. for 8331,7585 is 1
LCM of denominators i.e. for 615,7884 is 1616220.
Thus, GCF of Fractions is 1/1616220.Finally, GCF of Fractions for 8331/615, 7585/7884 is 1/1616220.