Use our free GCF of Fractions Calculator tool to compute the GCF of 3851/869, 6539/5318 i.e 1/4621342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3851/869, 6539/5318.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3851/869,6539/5318
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 3851/869,6539/5318, numerators are 3851,6539
Denominators are 869,5318
The GCF of 3851,6539 is 1 .
LCM of 869,5318 is 4621342.
The greatest common factor of 3851/869,6539/5318 = [GCF of 3851,6539]/[LCM of 869,5318]= 1/4621342
Therefore, the GCF of 3851/869,6539/5318 is 1/4621342.
To find the highest common factor of 3851,6539, we have to find the factors of both numbers and list the highest common factor.
The factors of 3851 are 1, 3851
The factors of 6539 are 1, 13, 503, 6539
The HCF of 3851,6539 is 1.
Lets's calculate GCF of 3851,6539
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3851
:1,3851
Now, list down the factors of 6539
:1,13,503,6539
Greatest Common Factor
We found the factors 3851,6539 . The biggest common factor number is the GCF number.
So the greatest common factor 3851,6539 is 1.
Lets's calculate LCM of 869,5318
Given numbers has no common factors except 1. So, there LCM is their product i.e 4621342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4621342
Therefore, the GCF of Fractions 3851/869,6539/5318 is 1/4621342
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 869,5318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,5318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,5318) x common factors =1 x 1 = 1
LCM(869,5318) = ( 869 × 5318 ) / 1
LCM(869,5318) = 4621342 / 1
LCM(869,5318) = 4621342
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3851,6539?
The HCF of 3851,6539 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 3851/869, 6539/5318?
Answer: GCF of Numerators as per given numbers 3851/869, 6539/5318 is
GCF of Numerators i.e. for 3851,6539 is 1
LCM of denominators i.e. for 869,5318 is 4621342.
Thus, GCF of Fractions is 1/4621342.Finally, GCF of Fractions for 3851/869, 6539/5318 is 1/4621342.