GCF of 4811/583, 8732/7897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4811/583, 8732/7897 i.e 1/86867 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4811/583, 8732/7897.
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 4811/583,8732/7897?
Given fractions are 4811/583,8732/7897
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 4811/583,8732/7897, numerators are 4811,8732
Denominators are 583,7897
The GCF of 4811,8732 is 1 .
LCM of 583,7897 is 86867.
The greatest common factor of 4811/583,8732/7897 = [GCF of 4811,8732]/[LCM of 583,7897]= 1/86867
Therefore, the GCF of 4811/583,8732/7897 is 1/86867.
To find the highest common factor of 4811,8732, we have to find the factors of both numbers and list the highest common factor.
The factors of 4811 are 1, 17, 283, 4811
The factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732
The HCF of 4811,8732 is 1.
Lets's calculate GCF of 4811,8732
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4811,8732 By Matching Biggest Common Factor Method
Now, list down the factors of 4811
:1,17,283,4811
Now, list down the factors of 8732
:1,2,4,37,59,74,118,148,236,2183,4366,8732
Greatest Common Factor
We found the factors 4811,8732 . The biggest common factor number is the GCF number.
So the greatest common factor 4811,8732 is 1.
Lets's calculate LCM of 583,7897
| 53 | 583, 7897 |
| 11, 149 |
∴ So the LCM of the given numbers is 53 x 11 x 149 = 86867
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86867
Therefore, the GCF of Fractions 4811/583,8732/7897 is 1/86867
Least Common Multiple of 583,7897 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 583,7897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,7897) = 53
common factors(in case of two or more numbers have common factors) = 1
GCF(583,7897) x common factors =53 x 1 = 53
LCM(583,7897) = ( 583 × 7897 ) / 53
LCM(583,7897) = 4603951 / 53
LCM(583,7897) = 86867
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FAQs on GCF of Fractions of 4811/583, 8732/7897
1. What is the HCF of 4811,8732?
The HCF of 4811,8732 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 4811/583, 8732/7897?
Answer: GCF of Numerators as per given numbers 4811/583, 8732/7897 is
GCF of Numerators i.e. for 4811,8732 is 1
LCM of denominators i.e. for 583,7897 is 86867.
Thus, GCF of Fractions is 1/86867.Finally, GCF of Fractions for 4811/583, 8732/7897 is 1/86867.