Use our free GCF of Fractions Calculator tool to compute the GCF of 1525/279, 8881/4430 i.e 1/1235970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1525/279, 8881/4430.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1525/279,8881/4430
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 1525/279,8881/4430, numerators are 1525,8881
Denominators are 279,4430
The GCF of 1525,8881 is 1 .
LCM of 279,4430 is 1235970.
The greatest common factor of 1525/279,8881/4430 = [GCF of 1525,8881]/[LCM of 279,4430]= 1/1235970
Therefore, the GCF of 1525/279,8881/4430 is 1/1235970.
To find the highest common factor of 1525,8881, we have to find the factors of both numbers and list the highest common factor.
The factors of 1525 are 1, 5, 25, 61, 305, 1525
The factors of 8881 are 1, 83, 107, 8881
The HCF of 1525,8881 is 1.
Lets's calculate GCF of 1525,8881
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1525
:1,5,25,61,305,1525
Now, list down the factors of 8881
:1,83,107,8881
Greatest Common Factor
We found the factors 1525,8881 . The biggest common factor number is the GCF number.
So the greatest common factor 1525,8881 is 1.
Lets's calculate LCM of 279,4430
Given numbers has no common factors except 1. So, there LCM is their product i.e 1235970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1235970
Therefore, the GCF of Fractions 1525/279,8881/4430 is 1/1235970
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 279,4430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,4430) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,4430) x common factors =1 x 1 = 1
LCM(279,4430) = ( 279 × 4430 ) / 1
LCM(279,4430) = 1235970 / 1
LCM(279,4430) = 1235970
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1525,8881?
The HCF of 1525,8881 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 1525/279, 8881/4430?
Answer: GCF of Numerators as per given numbers 1525/279, 8881/4430 is
GCF of Numerators i.e. for 1525,8881 is 1
LCM of denominators i.e. for 279,4430 is 1235970.
Thus, GCF of Fractions is 1/1235970.Finally, GCF of Fractions for 1525/279, 8881/4430 is 1/1235970.