GCF of 4244/491, 3006/9750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4244/491, 3006/9750 i.e 2/4787250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4244/491, 3006/9750.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4244/491,3006/9750?
Given fractions are 4244/491,3006/9750
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 4244/491,3006/9750, numerators are 4244,3006
Denominators are 491,9750
The GCF of 4244,3006 is 2 .
LCM of 491,9750 is 4787250.
The greatest common factor of 4244/491,3006/9750 = [GCF of 4244,3006]/[LCM of 491,9750]= 2/4787250
Therefore, the GCF of 4244/491,3006/9750 is 2/4787250.
To find the highest common factor of 4244,3006, we have to find the factors of both numbers and list the highest common factor.
The factors of 4244 are 1, 2, 4, 1061, 2122, 4244
The factors of 3006 are 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006
The HCF of 4244,3006 is 2.
Lets's calculate GCF of 4244,3006
| 2 | 4244, 3006 |
| 2122, 1503 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4244,3006 By Matching Biggest Common Factor Method
Now, list down the factors of 4244
:1,2,4,1061,2122,4244
Now, list down the factors of 3006
:1,2,3,6,9,18,167,334,501,1002,1503,3006
Greatest Common Factor
We found the factors 4244,3006 . The biggest common factor number is the GCF number.
So the greatest common factor 4244,3006 is 2.
Lets's calculate LCM of 491,9750
Given numbers has no common factors except 1. So, there LCM is their product i.e 4787250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4787250
Therefore, the GCF of Fractions 4244/491,3006/9750 is 2/4787250
Least Common Multiple of 491,9750 with GCF Formula
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 491,9750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,9750) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,9750) x common factors =1 x 1 = 1
LCM(491,9750) = ( 491 × 9750 ) / 1
LCM(491,9750) = 4787250 / 1
LCM(491,9750) = 4787250
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4244/491, 3006/9750
1. What is the HCF of 4244,3006?
The HCF of 4244,3006 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 4244/491, 3006/9750?
Answer: GCF of Numerators as per given numbers 4244/491, 3006/9750 is
GCF of Numerators i.e. for 4244,3006 is 2
LCM of denominators i.e. for 491,9750 is 4787250.
Thus, GCF of Fractions is 2/4787250.Finally, GCF of Fractions for 4244/491, 3006/9750 is 2/4787250.