GCF of 4335/823, 7905/4977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4335/823, 7905/4977 i.e 255/4096071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4335/823, 7905/4977.
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 4335/823,7905/4977?
Given fractions are 4335/823,7905/4977
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 4335/823,7905/4977, numerators are 4335,7905
Denominators are 823,4977
The GCF of 4335,7905 is 255 .
LCM of 823,4977 is 4096071.
The greatest common factor of 4335/823,7905/4977 = [GCF of 4335,7905]/[LCM of 823,4977]= 255/4096071
Therefore, the GCF of 4335/823,7905/4977 is 255/4096071.
To find the highest common factor of 4335,7905, we have to find the factors of both numbers and list the highest common factor.
The factors of 4335 are 1, 3, 5, 15, 17, 51, 85, 255, 289, 867, 1445, 4335
The factors of 7905 are 1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905
The HCF of 4335,7905 is 255.
Lets's calculate GCF of 4335,7905
| 3 | 4335, 7905 |
| 5 | 1445, 2635 |
| 17 | 289, 527 |
| 17, 31 |
∴ So the GCF of the given numbers is 3 x 5 x 17 = 255
Greatest Common Factor of 4335,7905 By Matching Biggest Common Factor Method
Now, list down the factors of 4335
:1,3,5,15,17,51,85,255,289,867,1445,4335
Now, list down the factors of 7905
:1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Greatest Common Factor
We found the factors 4335,7905 . The biggest common factor number is the GCF number.
So the greatest common factor 4335,7905 is 255.
Lets's calculate LCM of 823,4977
Given numbers has no common factors except 1. So, there LCM is their product i.e 4096071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 255/4096071
Therefore, the GCF of Fractions 4335/823,7905/4977 is 255/4096071
Least Common Multiple of 823,4977 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 823,4977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,4977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,4977) x common factors =1 x 1 = 1
LCM(823,4977) = ( 823 × 4977 ) / 1
LCM(823,4977) = 4096071 / 1
LCM(823,4977) = 4096071
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FAQs on GCF of Fractions of 4335/823, 7905/4977
1. What is the HCF of 4335,7905?
The HCF of 4335,7905 is 255
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 4335/823, 7905/4977?
Answer: GCF of Numerators as per given numbers 4335/823, 7905/4977 is
GCF of Numerators i.e. for 4335,7905 is 255
LCM of denominators i.e. for 823,4977 is 4096071.
Thus, GCF of Fractions is 255/4096071.Finally, GCF of Fractions for 4335/823, 7905/4977 is 255/4096071.