Use our free GCF of Fractions Calculator tool to compute the GCF of 7876/353, 1518/6477 i.e 22/2286381 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7876/353, 1518/6477.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7876/353,1518/6477
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 7876/353,1518/6477, numerators are 7876,1518
Denominators are 353,6477
The GCF of 7876,1518 is 22 .
LCM of 353,6477 is 2286381.
The greatest common factor of 7876/353,1518/6477 = [GCF of 7876,1518]/[LCM of 353,6477]= 22/2286381
Therefore, the GCF of 7876/353,1518/6477 is 22/2286381.
To find the highest common factor of 7876,1518, we have to find the factors of both numbers and list the highest common factor.
The factors of 7876 are 1, 2, 4, 11, 22, 44, 179, 358, 716, 1969, 3938, 7876
The factors of 1518 are 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759, 1518
The HCF of 7876,1518 is 22.
Lets's calculate GCF of 7876,1518
2 | 7876, 1518 |
11 | 3938, 759 |
358, 69 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Now, list down the factors of 7876
:1,2,4,11,22,44,179,358,716,1969,3938,7876
Now, list down the factors of 1518
:1,2,3,6,11,22,23,33,46,66,69,138,253,506,759,1518
Greatest Common Factor
We found the factors 7876,1518 . The biggest common factor number is the GCF number.
So the greatest common factor 7876,1518 is 22.
Lets's calculate LCM of 353,6477
Given numbers has no common factors except 1. So, there LCM is their product i.e 2286381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/2286381
Therefore, the GCF of Fractions 7876/353,1518/6477 is 22/2286381
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 353,6477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,6477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,6477) x common factors =1 x 1 = 1
LCM(353,6477) = ( 353 × 6477 ) / 1
LCM(353,6477) = 2286381 / 1
LCM(353,6477) = 2286381
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7876,1518?
The HCF of 7876,1518 is 22
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 7876/353, 1518/6477?
Answer: GCF of Numerators as per given numbers 7876/353, 1518/6477 is
GCF of Numerators i.e. for 7876,1518 is 22
LCM of denominators i.e. for 353,6477 is 2286381.
Thus, GCF of Fractions is 22/2286381.Finally, GCF of Fractions for 7876/353, 1518/6477 is 22/2286381.