Use our free GCF of Fractions Calculator tool to compute the GCF of 5239/144, 9679/7236 i.e 1/28944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5239/144, 9679/7236.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5239/144,9679/7236
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 5239/144,9679/7236, numerators are 5239,9679
Denominators are 144,7236
The GCF of 5239,9679 is 1 .
LCM of 144,7236 is 28944.
The greatest common factor of 5239/144,9679/7236 = [GCF of 5239,9679]/[LCM of 144,7236]= 1/28944
Therefore, the GCF of 5239/144,9679/7236 is 1/28944.
To find the highest common factor of 5239,9679, we have to find the factors of both numbers and list the highest common factor.
The factors of 5239 are 1, 13, 31, 169, 403, 5239
The factors of 9679 are 1, 9679
The HCF of 5239,9679 is 1.
Lets's calculate GCF of 5239,9679
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5239
:1,13,31,169,403,5239
Now, list down the factors of 9679
:1,9679
Greatest Common Factor
We found the factors 5239,9679 . The biggest common factor number is the GCF number.
So the greatest common factor 5239,9679 is 1.
Lets's calculate LCM of 144,7236
2 | 144, 7236 |
2 | 72, 3618 |
3 | 36, 1809 |
3 | 12, 603 |
4, 201 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 4 x 201 = 28944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28944
Therefore, the GCF of Fractions 5239/144,9679/7236 is 1/28944
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 144,7236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,7236) = 36
common factors(in case of two or more numbers have common factors) = 1
GCF(144,7236) x common factors =36 x 1 = 36
LCM(144,7236) = ( 144 × 7236 ) / 36
LCM(144,7236) = 1041984 / 36
LCM(144,7236) = 28944
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5239,9679?
The HCF of 5239,9679 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 5239/144, 9679/7236?
Answer: GCF of Numerators as per given numbers 5239/144, 9679/7236 is
GCF of Numerators i.e. for 5239,9679 is 1
LCM of denominators i.e. for 144,7236 is 28944.
Thus, GCF of Fractions is 1/28944.Finally, GCF of Fractions for 5239/144, 9679/7236 is 1/28944.