GCF of 8013/715, 4956/6547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8013/715, 4956/6547 i.e 3/4681105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8013/715, 4956/6547.
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 8013/715,4956/6547?
Given fractions are 8013/715,4956/6547
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 8013/715,4956/6547, numerators are 8013,4956
Denominators are 715,6547
The GCF of 8013,4956 is 3 .
LCM of 715,6547 is 4681105.
The greatest common factor of 8013/715,4956/6547 = [GCF of 8013,4956]/[LCM of 715,6547]= 3/4681105
Therefore, the GCF of 8013/715,4956/6547 is 3/4681105.
To find the highest common factor of 8013,4956, we have to find the factors of both numbers and list the highest common factor.
The factors of 8013 are 1, 3, 2671, 8013
The factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956
The HCF of 8013,4956 is 3.
Lets's calculate GCF of 8013,4956
| 3 | 8013, 4956 |
| 2671, 1652 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8013,4956 By Matching Biggest Common Factor Method
Now, list down the factors of 8013
:1,3,2671,8013
Now, list down the factors of 4956
:1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956
Greatest Common Factor
We found the factors 8013,4956 . The biggest common factor number is the GCF number.
So the greatest common factor 8013,4956 is 3.
Lets's calculate LCM of 715,6547
Given numbers has no common factors except 1. So, there LCM is their product i.e 4681105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4681105
Therefore, the GCF of Fractions 8013/715,4956/6547 is 3/4681105
Least Common Multiple of 715,6547 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 715,6547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,6547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,6547) x common factors =1 x 1 = 1
LCM(715,6547) = ( 715 × 6547 ) / 1
LCM(715,6547) = 4681105 / 1
LCM(715,6547) = 4681105
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8013/715, 4956/6547
1. What is the HCF of 8013,4956?
The HCF of 8013,4956 is 3
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 8013/715, 4956/6547?
Answer: GCF of Numerators as per given numbers 8013/715, 4956/6547 is
GCF of Numerators i.e. for 8013,4956 is 3
LCM of denominators i.e. for 715,6547 is 4681105.
Thus, GCF of Fractions is 3/4681105.Finally, GCF of Fractions for 8013/715, 4956/6547 is 3/4681105.