GCF of 1483/150, 5301/8904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1483/150, 5301/8904 i.e 1/222600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1483/150, 5301/8904.
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 1483/150,5301/8904?
Given fractions are 1483/150,5301/8904
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 1483/150,5301/8904, numerators are 1483,5301
Denominators are 150,8904
The GCF of 1483,5301 is 1 .
LCM of 150,8904 is 222600.
The greatest common factor of 1483/150,5301/8904 = [GCF of 1483,5301]/[LCM of 150,8904]= 1/222600
Therefore, the GCF of 1483/150,5301/8904 is 1/222600.
To find the highest common factor of 1483,5301, we have to find the factors of both numbers and list the highest common factor.
The factors of 1483 are 1, 1483
The factors of 5301 are 1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301
The HCF of 1483,5301 is 1.
Lets's calculate GCF of 1483,5301
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1483,5301 By Matching Biggest Common Factor Method
Now, list down the factors of 1483
:1,1483
Now, list down the factors of 5301
:1,3,9,19,31,57,93,171,279,589,1767,5301
Greatest Common Factor
We found the factors 1483,5301 . The biggest common factor number is the GCF number.
So the greatest common factor 1483,5301 is 1.
Lets's calculate LCM of 150,8904
| 2 | 150, 8904 |
| 3 | 75, 4452 |
| 25, 1484 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 1484 = 222600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222600
Therefore, the GCF of Fractions 1483/150,5301/8904 is 1/222600
Least Common Multiple of 150,8904 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 150,8904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,8904) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(150,8904) x common factors =6 x 1 = 6
LCM(150,8904) = ( 150 × 8904 ) / 6
LCM(150,8904) = 1335600 / 6
LCM(150,8904) = 222600
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FAQs on GCF of Fractions of 1483/150, 5301/8904
1. What is the HCF of 1483,5301?
The HCF of 1483,5301 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 1483/150, 5301/8904?
Answer: GCF of Numerators as per given numbers 1483/150, 5301/8904 is
GCF of Numerators i.e. for 1483,5301 is 1
LCM of denominators i.e. for 150,8904 is 222600.
Thus, GCF of Fractions is 1/222600.Finally, GCF of Fractions for 1483/150, 5301/8904 is 1/222600.