GCF of 6309/150, 4260/9012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6309/150, 4260/9012 i.e 3/225300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6309/150, 4260/9012.
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 6309/150,4260/9012?
Given fractions are 6309/150,4260/9012
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 6309/150,4260/9012, numerators are 6309,4260
Denominators are 150,9012
The GCF of 6309,4260 is 3 .
LCM of 150,9012 is 225300.
The greatest common factor of 6309/150,4260/9012 = [GCF of 6309,4260]/[LCM of 150,9012]= 3/225300
Therefore, the GCF of 6309/150,4260/9012 is 3/225300.
To find the highest common factor of 6309,4260, we have to find the factors of both numbers and list the highest common factor.
The factors of 6309 are 1, 3, 9, 701, 2103, 6309
The factors of 4260 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130, 4260
The HCF of 6309,4260 is 3.
Lets's calculate GCF of 6309,4260
| 3 | 6309, 4260 |
| 2103, 1420 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6309,4260 By Matching Biggest Common Factor Method
Now, list down the factors of 6309
:1,3,9,701,2103,6309
Now, list down the factors of 4260
:1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260
Greatest Common Factor
We found the factors 6309,4260 . The biggest common factor number is the GCF number.
So the greatest common factor 6309,4260 is 3.
Lets's calculate LCM of 150,9012
| 2 | 150, 9012 |
| 3 | 75, 4506 |
| 25, 1502 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 1502 = 225300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/225300
Therefore, the GCF of Fractions 6309/150,4260/9012 is 3/225300
Least Common Multiple of 150,9012 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 150,9012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,9012) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(150,9012) x common factors =6 x 1 = 6
LCM(150,9012) = ( 150 × 9012 ) / 6
LCM(150,9012) = 1351800 / 6
LCM(150,9012) = 225300
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FAQs on GCF of Fractions of 6309/150, 4260/9012
1. What is the HCF of 6309,4260?
The HCF of 6309,4260 is 3
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 6309/150, 4260/9012?
Answer: GCF of Numerators as per given numbers 6309/150, 4260/9012 is
GCF of Numerators i.e. for 6309,4260 is 3
LCM of denominators i.e. for 150,9012 is 225300.
Thus, GCF of Fractions is 3/225300.Finally, GCF of Fractions for 6309/150, 4260/9012 is 3/225300.