GCF of 4801/306, 2367/221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4801/306, 2367/221 i.e 1/3978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4801/306, 2367/221.
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 4801/306,2367/221?
Given fractions are 4801/306,2367/221
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 4801/306,2367/221, numerators are 4801,2367
Denominators are 306,221
The GCF of 4801,2367 is 1 .
LCM of 306,221 is 3978.
The greatest common factor of 4801/306,2367/221 = [GCF of 4801,2367]/[LCM of 306,221]= 1/3978
Therefore, the GCF of 4801/306,2367/221 is 1/3978.
To find the highest common factor of 4801,2367, we have to find the factors of both numbers and list the highest common factor.
The factors of 4801 are 1, 4801
The factors of 2367 are 1, 3, 9, 263, 789, 2367
The HCF of 4801,2367 is 1.
Lets's calculate GCF of 4801,2367
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4801,2367 By Matching Biggest Common Factor Method
Now, list down the factors of 4801
:1,4801
Now, list down the factors of 2367
:1,3,9,263,789,2367
Greatest Common Factor
We found the factors 4801,2367 . The biggest common factor number is the GCF number.
So the greatest common factor 4801,2367 is 1.
Lets's calculate LCM of 306,221
| 17 | 306, 221 |
| 18, 13 |
∴ So the LCM of the given numbers is 17 x 18 x 13 = 3978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3978
Therefore, the GCF of Fractions 4801/306,2367/221 is 1/3978
Least Common Multiple of 306,221 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 306,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,221) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(306,221) x common factors =17 x 1 = 17
LCM(306,221) = ( 306 × 221 ) / 17
LCM(306,221) = 67626 / 17
LCM(306,221) = 3978
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FAQs on GCF of Fractions of 4801/306, 2367/221
1. What is the HCF of 4801,2367?
The HCF of 4801,2367 is 1
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 4801/306, 2367/221?
Answer: GCF of Numerators as per given numbers 4801/306, 2367/221 is
GCF of Numerators i.e. for 4801,2367 is 1
LCM of denominators i.e. for 306,221 is 3978.
Thus, GCF of Fractions is 1/3978.Finally, GCF of Fractions for 4801/306, 2367/221 is 1/3978.