GCF of 4353/655, 1305/110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4353/655, 1305/110 i.e 3/14410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4353/655, 1305/110.
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 4353/655,1305/110?
Given fractions are 4353/655,1305/110
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 4353/655,1305/110, numerators are 4353,1305
Denominators are 655,110
The GCF of 4353,1305 is 3 .
LCM of 655,110 is 14410.
The greatest common factor of 4353/655,1305/110 = [GCF of 4353,1305]/[LCM of 655,110]= 3/14410
Therefore, the GCF of 4353/655,1305/110 is 3/14410.
To find the highest common factor of 4353,1305, we have to find the factors of both numbers and list the highest common factor.
The factors of 4353 are 1, 3, 1451, 4353
The factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305
The HCF of 4353,1305 is 3.
Lets's calculate GCF of 4353,1305
| 3 | 4353, 1305 |
| 1451, 435 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4353,1305 By Matching Biggest Common Factor Method
Now, list down the factors of 4353
:1,3,1451,4353
Now, list down the factors of 1305
:1,3,5,9,15,29,45,87,145,261,435,1305
Greatest Common Factor
We found the factors 4353,1305 . The biggest common factor number is the GCF number.
So the greatest common factor 4353,1305 is 3.
Lets's calculate LCM of 655,110
| 5 | 655, 110 |
| 131, 22 |
∴ So the LCM of the given numbers is 5 x 131 x 22 = 14410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14410
Therefore, the GCF of Fractions 4353/655,1305/110 is 3/14410
Least Common Multiple of 655,110 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 655,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,110) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(655,110) x common factors =5 x 1 = 5
LCM(655,110) = ( 655 × 110 ) / 5
LCM(655,110) = 72050 / 5
LCM(655,110) = 14410
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FAQs on GCF of Fractions of 4353/655, 1305/110
1. What is the HCF of 4353,1305?
The HCF of 4353,1305 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 4353/655, 1305/110?
Answer: GCF of Numerators as per given numbers 4353/655, 1305/110 is
GCF of Numerators i.e. for 4353,1305 is 3
LCM of denominators i.e. for 655,110 is 14410.
Thus, GCF of Fractions is 3/14410.Finally, GCF of Fractions for 4353/655, 1305/110 is 3/14410.