GCF of 7444/188, 8302/3048
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7444/188, 8302/3048 i.e 2/143256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7444/188, 8302/3048.
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 7444/188,8302/3048?
Given fractions are 7444/188,8302/3048
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 7444/188,8302/3048, numerators are 7444,8302
Denominators are 188,3048
The GCF of 7444,8302 is 2 .
LCM of 188,3048 is 143256.
The greatest common factor of 7444/188,8302/3048 = [GCF of 7444,8302]/[LCM of 188,3048]= 2/143256
Therefore, the GCF of 7444/188,8302/3048 is 2/143256.
To find the highest common factor of 7444,8302, we have to find the factors of both numbers and list the highest common factor.
The factors of 7444 are 1, 2, 4, 1861, 3722, 7444
The factors of 8302 are 1, 2, 7, 14, 593, 1186, 4151, 8302
The HCF of 7444,8302 is 2.
Lets's calculate GCF of 7444,8302
| 2 | 7444, 8302 |
| 3722, 4151 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7444,8302 By Matching Biggest Common Factor Method
Now, list down the factors of 7444
:1,2,4,1861,3722,7444
Now, list down the factors of 8302
:1,2,7,14,593,1186,4151,8302
Greatest Common Factor
We found the factors 7444,8302 . The biggest common factor number is the GCF number.
So the greatest common factor 7444,8302 is 2.
Lets's calculate LCM of 188,3048
| 2 | 188, 3048 |
| 2 | 94, 1524 |
| 47, 762 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 762 = 143256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/143256
Therefore, the GCF of Fractions 7444/188,8302/3048 is 2/143256
Least Common Multiple of 188,3048 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 188,3048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,3048) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(188,3048) x common factors =4 x 1 = 4
LCM(188,3048) = ( 188 × 3048 ) / 4
LCM(188,3048) = 573024 / 4
LCM(188,3048) = 143256
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FAQs on GCF of Fractions of 7444/188, 8302/3048
1. What is the HCF of 7444,8302?
The HCF of 7444,8302 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 7444/188, 8302/3048?
Answer: GCF of Numerators as per given numbers 7444/188, 8302/3048 is
GCF of Numerators i.e. for 7444,8302 is 2
LCM of denominators i.e. for 188,3048 is 143256.
Thus, GCF of Fractions is 2/143256.Finally, GCF of Fractions for 7444/188, 8302/3048 is 2/143256.