GCF of 7035/323, 4770/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7035/323, 4770/326 i.e 15/105298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7035/323, 4770/326.
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 7035/323,4770/326?
Given fractions are 7035/323,4770/326
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 7035/323,4770/326, numerators are 7035,4770
Denominators are 323,326
The GCF of 7035,4770 is 15 .
LCM of 323,326 is 105298.
The greatest common factor of 7035/323,4770/326 = [GCF of 7035,4770]/[LCM of 323,326]= 15/105298
Therefore, the GCF of 7035/323,4770/326 is 15/105298.
To find the highest common factor of 7035,4770, we have to find the factors of both numbers and list the highest common factor.
The factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035
The factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770
The HCF of 7035,4770 is 15.
Lets's calculate GCF of 7035,4770
| 3 | 7035, 4770 |
| 5 | 2345, 1590 |
| 469, 318 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7035,4770 By Matching Biggest Common Factor Method
Now, list down the factors of 7035
:1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035
Now, list down the factors of 4770
:1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770
Greatest Common Factor
We found the factors 7035,4770 . The biggest common factor number is the GCF number.
So the greatest common factor 7035,4770 is 15.
Lets's calculate LCM of 323,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 105298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/105298
Therefore, the GCF of Fractions 7035/323,4770/326 is 15/105298
Least Common Multiple of 323,326 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 323,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,326) x common factors =1 x 1 = 1
LCM(323,326) = ( 323 × 326 ) / 1
LCM(323,326) = 105298 / 1
LCM(323,326) = 105298
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FAQs on GCF of Fractions of 7035/323, 4770/326
1. What is the HCF of 7035,4770?
The HCF of 7035,4770 is 15
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 7035/323, 4770/326?
Answer: GCF of Numerators as per given numbers 7035/323, 4770/326 is
GCF of Numerators i.e. for 7035,4770 is 15
LCM of denominators i.e. for 323,326 is 105298.
Thus, GCF of Fractions is 15/105298.Finally, GCF of Fractions for 7035/323, 4770/326 is 15/105298.