GCF of 7335/449, 2430/2076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7335/449, 2430/2076 i.e 45/932124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7335/449, 2430/2076.
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 7335/449,2430/2076?
Given fractions are 7335/449,2430/2076
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 7335/449,2430/2076, numerators are 7335,2430
Denominators are 449,2076
The GCF of 7335,2430 is 45 .
LCM of 449,2076 is 932124.
The greatest common factor of 7335/449,2430/2076 = [GCF of 7335,2430]/[LCM of 449,2076]= 45/932124
Therefore, the GCF of 7335/449,2430/2076 is 45/932124.
To find the highest common factor of 7335,2430, we have to find the factors of both numbers and list the highest common factor.
The factors of 7335 are 1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335
The factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430
The HCF of 7335,2430 is 45.
Lets's calculate GCF of 7335,2430
| 3 | 7335, 2430 |
| 3 | 2445, 810 |
| 5 | 815, 270 |
| 163, 54 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 7335,2430 By Matching Biggest Common Factor Method
Now, list down the factors of 7335
:1,3,5,9,15,45,163,489,815,1467,2445,7335
Now, list down the factors of 2430
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430
Greatest Common Factor
We found the factors 7335,2430 . The biggest common factor number is the GCF number.
So the greatest common factor 7335,2430 is 45.
Lets's calculate LCM of 449,2076
Given numbers has no common factors except 1. So, there LCM is their product i.e 932124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/932124
Therefore, the GCF of Fractions 7335/449,2430/2076 is 45/932124
Least Common Multiple of 449,2076 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 449,2076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,2076) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,2076) x common factors =1 x 1 = 1
LCM(449,2076) = ( 449 × 2076 ) / 1
LCM(449,2076) = 932124 / 1
LCM(449,2076) = 932124
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FAQs on GCF of Fractions of 7335/449, 2430/2076
1. What is the HCF of 7335,2430?
The HCF of 7335,2430 is 45
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 7335/449, 2430/2076?
Answer: GCF of Numerators as per given numbers 7335/449, 2430/2076 is
GCF of Numerators i.e. for 7335,2430 is 45
LCM of denominators i.e. for 449,2076 is 932124.
Thus, GCF of Fractions is 45/932124.Finally, GCF of Fractions for 7335/449, 2430/2076 is 45/932124.