GCF of 4395/353, 1565/7310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4395/353, 1565/7310 i.e 5/2580430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4395/353, 1565/7310.
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 4395/353,1565/7310?
Given fractions are 4395/353,1565/7310
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 4395/353,1565/7310, numerators are 4395,1565
Denominators are 353,7310
The GCF of 4395,1565 is 5 .
LCM of 353,7310 is 2580430.
The greatest common factor of 4395/353,1565/7310 = [GCF of 4395,1565]/[LCM of 353,7310]= 5/2580430
Therefore, the GCF of 4395/353,1565/7310 is 5/2580430.
To find the highest common factor of 4395,1565, we have to find the factors of both numbers and list the highest common factor.
The factors of 4395 are 1, 3, 5, 15, 293, 879, 1465, 4395
The factors of 1565 are 1, 5, 313, 1565
The HCF of 4395,1565 is 5.
Lets's calculate GCF of 4395,1565
| 5 | 4395, 1565 |
| 879, 313 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4395,1565 By Matching Biggest Common Factor Method
Now, list down the factors of 4395
:1,3,5,15,293,879,1465,4395
Now, list down the factors of 1565
:1,5,313,1565
Greatest Common Factor
We found the factors 4395,1565 . The biggest common factor number is the GCF number.
So the greatest common factor 4395,1565 is 5.
Lets's calculate LCM of 353,7310
Given numbers has no common factors except 1. So, there LCM is their product i.e 2580430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2580430
Therefore, the GCF of Fractions 4395/353,1565/7310 is 5/2580430
Least Common Multiple of 353,7310 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 353,7310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,7310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,7310) x common factors =1 x 1 = 1
LCM(353,7310) = ( 353 × 7310 ) / 1
LCM(353,7310) = 2580430 / 1
LCM(353,7310) = 2580430
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FAQs on GCF of Fractions of 4395/353, 1565/7310
1. What is the HCF of 4395,1565?
The HCF of 4395,1565 is 5
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 4395/353, 1565/7310?
Answer: GCF of Numerators as per given numbers 4395/353, 1565/7310 is
GCF of Numerators i.e. for 4395,1565 is 5
LCM of denominators i.e. for 353,7310 is 2580430.
Thus, GCF of Fractions is 5/2580430.Finally, GCF of Fractions for 4395/353, 1565/7310 is 5/2580430.