Use our free GCF of Fractions Calculator tool to compute the GCF of 9382/107, 4458/1615 i.e 2/172805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9382/107, 4458/1615.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9382/107,4458/1615
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 9382/107,4458/1615, numerators are 9382,4458
Denominators are 107,1615
The GCF of 9382,4458 is 2 .
LCM of 107,1615 is 172805.
The greatest common factor of 9382/107,4458/1615 = [GCF of 9382,4458]/[LCM of 107,1615]= 2/172805
Therefore, the GCF of 9382/107,4458/1615 is 2/172805.
To find the highest common factor of 9382,4458, we have to find the factors of both numbers and list the highest common factor.
The factors of 9382 are 1, 2, 4691, 9382
The factors of 4458 are 1, 2, 3, 6, 743, 1486, 2229, 4458
The HCF of 9382,4458 is 2.
Lets's calculate GCF of 9382,4458
2 | 9382, 4458 |
4691, 2229 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 9382
:1,2,4691,9382
Now, list down the factors of 4458
:1,2,3,6,743,1486,2229,4458
Greatest Common Factor
We found the factors 9382,4458 . The biggest common factor number is the GCF number.
So the greatest common factor 9382,4458 is 2.
Lets's calculate LCM of 107,1615
Given numbers has no common factors except 1. So, there LCM is their product i.e 172805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/172805
Therefore, the GCF of Fractions 9382/107,4458/1615 is 2/172805
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 107,1615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,1615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,1615) x common factors =1 x 1 = 1
LCM(107,1615) = ( 107 × 1615 ) / 1
LCM(107,1615) = 172805 / 1
LCM(107,1615) = 172805
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9382,4458?
The HCF of 9382,4458 is 2
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 9382/107, 4458/1615?
Answer: GCF of Numerators as per given numbers 9382/107, 4458/1615 is
GCF of Numerators i.e. for 9382,4458 is 2
LCM of denominators i.e. for 107,1615 is 172805.
Thus, GCF of Fractions is 2/172805.Finally, GCF of Fractions for 9382/107, 4458/1615 is 2/172805.