Use our free GCF of Fractions Calculator tool to compute the GCF of 6548/821, 2541/6059 i.e 1/4974439 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6548/821, 2541/6059.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6548/821,2541/6059
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 6548/821,2541/6059, numerators are 6548,2541
Denominators are 821,6059
The GCF of 6548,2541 is 1 .
LCM of 821,6059 is 4974439.
The greatest common factor of 6548/821,2541/6059 = [GCF of 6548,2541]/[LCM of 821,6059]= 1/4974439
Therefore, the GCF of 6548/821,2541/6059 is 1/4974439.
To find the highest common factor of 6548,2541, we have to find the factors of both numbers and list the highest common factor.
The factors of 6548 are 1, 2, 4, 1637, 3274, 6548
The factors of 2541 are 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541
The HCF of 6548,2541 is 1.
Lets's calculate GCF of 6548,2541
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6548
:1,2,4,1637,3274,6548
Now, list down the factors of 2541
:1,3,7,11,21,33,77,121,231,363,847,2541
Greatest Common Factor
We found the factors 6548,2541 . The biggest common factor number is the GCF number.
So the greatest common factor 6548,2541 is 1.
Lets's calculate LCM of 821,6059
Given numbers has no common factors except 1. So, there LCM is their product i.e 4974439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4974439
Therefore, the GCF of Fractions 6548/821,2541/6059 is 1/4974439
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 821,6059 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,6059) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,6059) x common factors =1 x 1 = 1
LCM(821,6059) = ( 821 × 6059 ) / 1
LCM(821,6059) = 4974439 / 1
LCM(821,6059) = 4974439
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6548,2541?
The HCF of 6548,2541 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 6548/821, 2541/6059?
Answer: GCF of Numerators as per given numbers 6548/821, 2541/6059 is
GCF of Numerators i.e. for 6548,2541 is 1
LCM of denominators i.e. for 821,6059 is 4974439.
Thus, GCF of Fractions is 1/4974439.Finally, GCF of Fractions for 6548/821, 2541/6059 is 1/4974439.