Use our free GCF of Fractions Calculator tool to compute the GCF of 6777/277, 8548/6256 i.e 1/1732912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6777/277, 8548/6256.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6777/277,8548/6256
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 6777/277,8548/6256, numerators are 6777,8548
Denominators are 277,6256
The GCF of 6777,8548 is 1 .
LCM of 277,6256 is 1732912.
The greatest common factor of 6777/277,8548/6256 = [GCF of 6777,8548]/[LCM of 277,6256]= 1/1732912
Therefore, the GCF of 6777/277,8548/6256 is 1/1732912.
To find the highest common factor of 6777,8548, we have to find the factors of both numbers and list the highest common factor.
The factors of 6777 are 1, 3, 9, 27, 251, 753, 2259, 6777
The factors of 8548 are 1, 2, 4, 2137, 4274, 8548
The HCF of 6777,8548 is 1.
Lets's calculate GCF of 6777,8548
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6777
:1,3,9,27,251,753,2259,6777
Now, list down the factors of 8548
:1,2,4,2137,4274,8548
Greatest Common Factor
We found the factors 6777,8548 . The biggest common factor number is the GCF number.
So the greatest common factor 6777,8548 is 1.
Lets's calculate LCM of 277,6256
Given numbers has no common factors except 1. So, there LCM is their product i.e 1732912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1732912
Therefore, the GCF of Fractions 6777/277,8548/6256 is 1/1732912
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 277,6256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,6256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,6256) x common factors =1 x 1 = 1
LCM(277,6256) = ( 277 × 6256 ) / 1
LCM(277,6256) = 1732912 / 1
LCM(277,6256) = 1732912
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6777,8548?
The HCF of 6777,8548 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 6777/277, 8548/6256?
Answer: GCF of Numerators as per given numbers 6777/277, 8548/6256 is
GCF of Numerators i.e. for 6777,8548 is 1
LCM of denominators i.e. for 277,6256 is 1732912.
Thus, GCF of Fractions is 1/1732912.Finally, GCF of Fractions for 6777/277, 8548/6256 is 1/1732912.