GCF of 4335/922, 5505/4594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4335/922, 5505/4594 i.e 15/2117834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4335/922, 5505/4594.
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 4335/922,5505/4594?
Given fractions are 4335/922,5505/4594
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 4335/922,5505/4594, numerators are 4335,5505
Denominators are 922,4594
The GCF of 4335,5505 is 15 .
LCM of 922,4594 is 2117834.
The greatest common factor of 4335/922,5505/4594 = [GCF of 4335,5505]/[LCM of 922,4594]= 15/2117834
Therefore, the GCF of 4335/922,5505/4594 is 15/2117834.
To find the highest common factor of 4335,5505, 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 5505 are 1, 3, 5, 15, 367, 1101, 1835, 5505
The HCF of 4335,5505 is 15.
Lets's calculate GCF of 4335,5505
| 3 | 4335, 5505 |
| 5 | 1445, 1835 |
| 289, 367 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4335,5505 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 5505
:1,3,5,15,367,1101,1835,5505
Greatest Common Factor
We found the factors 4335,5505 . The biggest common factor number is the GCF number.
So the greatest common factor 4335,5505 is 15.
Lets's calculate LCM of 922,4594
| 2 | 922, 4594 |
| 461, 2297 |
∴ So the LCM of the given numbers is 2 x 461 x 2297 = 2117834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2117834
Therefore, the GCF of Fractions 4335/922,5505/4594 is 15/2117834
Least Common Multiple of 922,4594 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 922,4594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,4594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,4594) x common factors =2 x 1 = 2
LCM(922,4594) = ( 922 × 4594 ) / 2
LCM(922,4594) = 4235668 / 2
LCM(922,4594) = 2117834
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FAQs on GCF of Fractions of 4335/922, 5505/4594
1. What is the HCF of 4335,5505?
The HCF of 4335,5505 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 4335/922, 5505/4594?
Answer: GCF of Numerators as per given numbers 4335/922, 5505/4594 is
GCF of Numerators i.e. for 4335,5505 is 15
LCM of denominators i.e. for 922,4594 is 2117834.
Thus, GCF of Fractions is 15/2117834.Finally, GCF of Fractions for 4335/922, 5505/4594 is 15/2117834.