Use our free GCF of Fractions Calculator tool to compute the GCF of 6648/879, 9062/5128 i.e 2/4507512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6648/879, 9062/5128.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6648/879,9062/5128
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 6648/879,9062/5128, numerators are 6648,9062
Denominators are 879,5128
The GCF of 6648,9062 is 2 .
LCM of 879,5128 is 4507512.
The greatest common factor of 6648/879,9062/5128 = [GCF of 6648,9062]/[LCM of 879,5128]= 2/4507512
Therefore, the GCF of 6648/879,9062/5128 is 2/4507512.
To find the highest common factor of 6648,9062, we have to find the factors of both numbers and list the highest common factor.
The factors of 6648 are 1, 2, 3, 4, 6, 8, 12, 24, 277, 554, 831, 1108, 1662, 2216, 3324, 6648
The factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062
The HCF of 6648,9062 is 2.
Lets's calculate GCF of 6648,9062
2 | 6648, 9062 |
3324, 4531 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6648
:1,2,3,4,6,8,12,24,277,554,831,1108,1662,2216,3324,6648
Now, list down the factors of 9062
:1,2,23,46,197,394,4531,9062
Greatest Common Factor
We found the factors 6648,9062 . The biggest common factor number is the GCF number.
So the greatest common factor 6648,9062 is 2.
Lets's calculate LCM of 879,5128
Given numbers has no common factors except 1. So, there LCM is their product i.e 4507512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4507512
Therefore, the GCF of Fractions 6648/879,9062/5128 is 2/4507512
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 879,5128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,5128) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,5128) x common factors =1 x 1 = 1
LCM(879,5128) = ( 879 × 5128 ) / 1
LCM(879,5128) = 4507512 / 1
LCM(879,5128) = 4507512
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6648,9062?
The HCF of 6648,9062 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 6648/879, 9062/5128?
Answer: GCF of Numerators as per given numbers 6648/879, 9062/5128 is
GCF of Numerators i.e. for 6648,9062 is 2
LCM of denominators i.e. for 879,5128 is 4507512.
Thus, GCF of Fractions is 2/4507512.Finally, GCF of Fractions for 6648/879, 9062/5128 is 2/4507512.