Use our free GCF of Fractions Calculator tool to compute the GCF of 87/47, 661/50, 241/969 i.e 1/2277150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/47, 661/50, 241/969.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/47,661/50,241/969
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 87/47,661/50,241/969, numerators are 87,661,241
Denominators are 47,50,969
The GCF of 87,661,241 is 1 .
LCM of 47,50,969 is 2277150.
The greatest common factor of 87/47,661/50,241/969 = [GCF of 87,661,241]/[LCM of 47,50,969]= 1/2277150
Therefore, the GCF of 87/47,661/50,241/969 is 1/2277150.
To find the highest common factor of 87,661,241, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 661 are 1, 661
The factors of 241 are 1, 241
The HCF of 87,661,241 is 1.
Lets's calculate GCF of 87,661,241
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 661
:1,661
Now, list down the factors of 241
:1,241
Greatest Common Factor
We found the factors 87,661,241 . The biggest common factor number is the GCF number.
So the greatest common factor 87,661,241 is 1.
Lets's calculate LCM of 47,50,969
Given numbers has no common factors except 1. So, there LCM is their product i.e 2277150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2277150
Therefore, the GCF of Fractions 87/47,661/50,241/969 is 1/2277150
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 47,50,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,50,969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,50,969) x common factors =1 x 1 = 1
LCM(47,50,969) = ( 47 × 50 × 969 ) / 1
LCM(47,50,969) = 2277150 / 1
LCM(47,50,969) = 2277150
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,661,241?
The HCF of 87,661,241 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 87/47, 661/50, 241/969?
Answer: GCF of Numerators as per given numbers 87/47, 661/50, 241/969 is
GCF of Numerators i.e. for 87,661,241 is 1
LCM of denominators i.e. for 47,50,969 is 2277150.
Thus, GCF of Fractions is 1/2277150.Finally, GCF of Fractions for 87/47, 661/50, 241/969 is 1/2277150.