Use our free GCF of Fractions Calculator tool to compute the GCF of 4737/608, 7486/859 i.e 1/522272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4737/608, 7486/859.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4737/608,7486/859
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 4737/608,7486/859, numerators are 4737,7486
Denominators are 608,859
The GCF of 4737,7486 is 1 .
LCM of 608,859 is 522272.
The greatest common factor of 4737/608,7486/859 = [GCF of 4737,7486]/[LCM of 608,859]= 1/522272
Therefore, the GCF of 4737/608,7486/859 is 1/522272.
To find the highest common factor of 4737,7486, we have to find the factors of both numbers and list the highest common factor.
The factors of 4737 are 1, 3, 1579, 4737
The factors of 7486 are 1, 2, 19, 38, 197, 394, 3743, 7486
The HCF of 4737,7486 is 1.
Lets's calculate GCF of 4737,7486
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4737
:1,3,1579,4737
Now, list down the factors of 7486
:1,2,19,38,197,394,3743,7486
Greatest Common Factor
We found the factors 4737,7486 . The biggest common factor number is the GCF number.
So the greatest common factor 4737,7486 is 1.
Lets's calculate LCM of 608,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 522272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/522272
Therefore, the GCF of Fractions 4737/608,7486/859 is 1/522272
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 608,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,859) x common factors =1 x 1 = 1
LCM(608,859) = ( 608 × 859 ) / 1
LCM(608,859) = 522272 / 1
LCM(608,859) = 522272
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4737,7486?
The HCF of 4737,7486 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 4737/608, 7486/859?
Answer: GCF of Numerators as per given numbers 4737/608, 7486/859 is
GCF of Numerators i.e. for 4737,7486 is 1
LCM of denominators i.e. for 608,859 is 522272.
Thus, GCF of Fractions is 1/522272.Finally, GCF of Fractions for 4737/608, 7486/859 is 1/522272.