Use our free GCF of Fractions Calculator tool to compute the GCF of 5050/883, 5909/8628 i.e 1/7618524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5050/883, 5909/8628.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5050/883,5909/8628
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 5050/883,5909/8628, numerators are 5050,5909
Denominators are 883,8628
The GCF of 5050,5909 is 1 .
LCM of 883,8628 is 7618524.
The greatest common factor of 5050/883,5909/8628 = [GCF of 5050,5909]/[LCM of 883,8628]= 1/7618524
Therefore, the GCF of 5050/883,5909/8628 is 1/7618524.
To find the highest common factor of 5050,5909, we have to find the factors of both numbers and list the highest common factor.
The factors of 5050 are 1, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050
The factors of 5909 are 1, 19, 311, 5909
The HCF of 5050,5909 is 1.
Lets's calculate GCF of 5050,5909
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5050
:1,2,5,10,25,50,101,202,505,1010,2525,5050
Now, list down the factors of 5909
:1,19,311,5909
Greatest Common Factor
We found the factors 5050,5909 . The biggest common factor number is the GCF number.
So the greatest common factor 5050,5909 is 1.
Lets's calculate LCM of 883,8628
Given numbers has no common factors except 1. So, there LCM is their product i.e 7618524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7618524
Therefore, the GCF of Fractions 5050/883,5909/8628 is 1/7618524
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 883,8628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,8628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,8628) x common factors =1 x 1 = 1
LCM(883,8628) = ( 883 × 8628 ) / 1
LCM(883,8628) = 7618524 / 1
LCM(883,8628) = 7618524
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5050,5909?
The HCF of 5050,5909 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 5050/883, 5909/8628?
Answer: GCF of Numerators as per given numbers 5050/883, 5909/8628 is
GCF of Numerators i.e. for 5050,5909 is 1
LCM of denominators i.e. for 883,8628 is 7618524.
Thus, GCF of Fractions is 1/7618524.Finally, GCF of Fractions for 5050/883, 5909/8628 is 1/7618524.