Use our free GCF of Fractions Calculator tool to compute the GCF of 9849/731, 4156/6066 i.e 1/4434246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9849/731, 4156/6066.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9849/731,4156/6066
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 9849/731,4156/6066, numerators are 9849,4156
Denominators are 731,6066
The GCF of 9849,4156 is 1 .
LCM of 731,6066 is 4434246.
The greatest common factor of 9849/731,4156/6066 = [GCF of 9849,4156]/[LCM of 731,6066]= 1/4434246
Therefore, the GCF of 9849/731,4156/6066 is 1/4434246.
To find the highest common factor of 9849,4156, we have to find the factors of both numbers and list the highest common factor.
The factors of 9849 are 1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849
The factors of 4156 are 1, 2, 4, 1039, 2078, 4156
The HCF of 9849,4156 is 1.
Lets's calculate GCF of 9849,4156
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9849
:1,3,7,21,49,67,147,201,469,1407,3283,9849
Now, list down the factors of 4156
:1,2,4,1039,2078,4156
Greatest Common Factor
We found the factors 9849,4156 . The biggest common factor number is the GCF number.
So the greatest common factor 9849,4156 is 1.
Lets's calculate LCM of 731,6066
Given numbers has no common factors except 1. So, there LCM is their product i.e 4434246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4434246
Therefore, the GCF of Fractions 9849/731,4156/6066 is 1/4434246
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 731,6066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,6066) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,6066) x common factors =1 x 1 = 1
LCM(731,6066) = ( 731 × 6066 ) / 1
LCM(731,6066) = 4434246 / 1
LCM(731,6066) = 4434246
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9849,4156?
The HCF of 9849,4156 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 9849/731, 4156/6066?
Answer: GCF of Numerators as per given numbers 9849/731, 4156/6066 is
GCF of Numerators i.e. for 9849,4156 is 1
LCM of denominators i.e. for 731,6066 is 4434246.
Thus, GCF of Fractions is 1/4434246.Finally, GCF of Fractions for 9849/731, 4156/6066 is 1/4434246.