Use our free GCF of Fractions Calculator tool to compute the GCF of 6538/669, 4764/8716 i.e 2/5831004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6538/669, 4764/8716.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6538/669,4764/8716
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 6538/669,4764/8716, numerators are 6538,4764
Denominators are 669,8716
The GCF of 6538,4764 is 2 .
LCM of 669,8716 is 5831004.
The greatest common factor of 6538/669,4764/8716 = [GCF of 6538,4764]/[LCM of 669,8716]= 2/5831004
Therefore, the GCF of 6538/669,4764/8716 is 2/5831004.
To find the highest common factor of 6538,4764, we have to find the factors of both numbers and list the highest common factor.
The factors of 6538 are 1, 2, 7, 14, 467, 934, 3269, 6538
The factors of 4764 are 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764
The HCF of 6538,4764 is 2.
Lets's calculate GCF of 6538,4764
2 | 6538, 4764 |
3269, 2382 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6538
:1,2,7,14,467,934,3269,6538
Now, list down the factors of 4764
:1,2,3,4,6,12,397,794,1191,1588,2382,4764
Greatest Common Factor
We found the factors 6538,4764 . The biggest common factor number is the GCF number.
So the greatest common factor 6538,4764 is 2.
Lets's calculate LCM of 669,8716
Given numbers has no common factors except 1. So, there LCM is their product i.e 5831004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5831004
Therefore, the GCF of Fractions 6538/669,4764/8716 is 2/5831004
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 669,8716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,8716) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,8716) x common factors =1 x 1 = 1
LCM(669,8716) = ( 669 × 8716 ) / 1
LCM(669,8716) = 5831004 / 1
LCM(669,8716) = 5831004
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6538,4764?
The HCF of 6538,4764 is 2
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 6538/669, 4764/8716?
Answer: GCF of Numerators as per given numbers 6538/669, 4764/8716 is
GCF of Numerators i.e. for 6538,4764 is 2
LCM of denominators i.e. for 669,8716 is 5831004.
Thus, GCF of Fractions is 2/5831004.Finally, GCF of Fractions for 6538/669, 4764/8716 is 2/5831004.