Use our free GCF of Fractions Calculator tool to compute the GCF of 6571/125, 1639/5549 i.e 1/693625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6571/125, 1639/5549.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6571/125,1639/5549
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 6571/125,1639/5549, numerators are 6571,1639
Denominators are 125,5549
The GCF of 6571,1639 is 1 .
LCM of 125,5549 is 693625.
The greatest common factor of 6571/125,1639/5549 = [GCF of 6571,1639]/[LCM of 125,5549]= 1/693625
Therefore, the GCF of 6571/125,1639/5549 is 1/693625.
To find the highest common factor of 6571,1639, we have to find the factors of both numbers and list the highest common factor.
The factors of 6571 are 1, 6571
The factors of 1639 are 1, 11, 149, 1639
The HCF of 6571,1639 is 1.
Lets's calculate GCF of 6571,1639
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6571
:1,6571
Now, list down the factors of 1639
:1,11,149,1639
Greatest Common Factor
We found the factors 6571,1639 . The biggest common factor number is the GCF number.
So the greatest common factor 6571,1639 is 1.
Lets's calculate LCM of 125,5549
Given numbers has no common factors except 1. So, there LCM is their product i.e 693625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/693625
Therefore, the GCF of Fractions 6571/125,1639/5549 is 1/693625
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 125,5549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,5549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,5549) x common factors =1 x 1 = 1
LCM(125,5549) = ( 125 × 5549 ) / 1
LCM(125,5549) = 693625 / 1
LCM(125,5549) = 693625
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6571,1639?
The HCF of 6571,1639 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 6571/125, 1639/5549?
Answer: GCF of Numerators as per given numbers 6571/125, 1639/5549 is
GCF of Numerators i.e. for 6571,1639 is 1
LCM of denominators i.e. for 125,5549 is 693625.
Thus, GCF of Fractions is 1/693625.Finally, GCF of Fractions for 6571/125, 1639/5549 is 1/693625.