Use our free GCF of Fractions Calculator tool to compute the GCF of 247/621, 848/632 i.e 1/392472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 247/621, 848/632.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 247/621,848/632
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 247/621,848/632, numerators are 247,848
Denominators are 621,632
The GCF of 247,848 is 1 .
LCM of 621,632 is 392472.
The greatest common factor of 247/621,848/632 = [GCF of 247,848]/[LCM of 621,632]= 1/392472
Therefore, the GCF of 247/621,848/632 is 1/392472.
To find the highest common factor of 247,848, we have to find the factors of both numbers and list the highest common factor.
The factors of 247 are 1, 13, 19, 247
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The HCF of 247,848 is 1.
Lets's calculate GCF of 247,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 247
:1,13,19,247
Now, list down the factors of 848
:1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 247,848 . The biggest common factor number is the GCF number.
So the greatest common factor 247,848 is 1.
Lets's calculate LCM of 621,632
Given numbers has no common factors except 1. So, there LCM is their product i.e 392472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392472
Therefore, the GCF of Fractions 247/621,848/632 is 1/392472
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 621,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,632) x common factors =1 x 1 = 1
LCM(621,632) = ( 621 × 632 ) / 1
LCM(621,632) = 392472 / 1
LCM(621,632) = 392472
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 247,848?
The HCF of 247,848 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 247/621, 848/632?
Answer: GCF of Numerators as per given numbers 247/621, 848/632 is
GCF of Numerators i.e. for 247,848 is 1
LCM of denominators i.e. for 621,632 is 392472.
Thus, GCF of Fractions is 1/392472.Finally, GCF of Fractions for 247/621, 848/632 is 1/392472.