Use our free GCF of Fractions Calculator tool to compute the GCF of 54/47, 519/25, 749/722 i.e 1/848350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/47, 519/25, 749/722.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/47,519/25,749/722
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 54/47,519/25,749/722, numerators are 54,519,749
Denominators are 47,25,722
The GCF of 54,519,749 is 1 .
LCM of 47,25,722 is 848350.
The greatest common factor of 54/47,519/25,749/722 = [GCF of 54,519,749]/[LCM of 47,25,722]= 1/848350
Therefore, the GCF of 54/47,519/25,749/722 is 1/848350.
To find the highest common factor of 54,519,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 519 are 1, 3, 173, 519
The factors of 749 are 1, 7, 107, 749
The HCF of 54,519,749 is 1.
Lets's calculate GCF of 54,519,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 519
:1,3,173,519
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 54,519,749 . The biggest common factor number is the GCF number.
So the greatest common factor 54,519,749 is 1.
Lets's calculate LCM of 47,25,722
Given numbers has no common factors except 1. So, there LCM is their product i.e 848350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/848350
Therefore, the GCF of Fractions 54/47,519/25,749/722 is 1/848350
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 47,25,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,25,722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,25,722) x common factors =1 x 1 = 1
LCM(47,25,722) = ( 47 × 25 × 722 ) / 1
LCM(47,25,722) = 848350 / 1
LCM(47,25,722) = 848350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 54,519,749?
The HCF of 54,519,749 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 54/47, 519/25, 749/722?
Answer: GCF of Numerators as per given numbers 54/47, 519/25, 749/722 is
GCF of Numerators i.e. for 54,519,749 is 1
LCM of denominators i.e. for 47,25,722 is 848350.
Thus, GCF of Fractions is 1/848350.Finally, GCF of Fractions for 54/47, 519/25, 749/722 is 1/848350.