GCF of 5779/228, 4113/9362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5779/228, 4113/9362 i.e 1/1067268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5779/228, 4113/9362.
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 5779/228,4113/9362?
Given fractions are 5779/228,4113/9362
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 5779/228,4113/9362, numerators are 5779,4113
Denominators are 228,9362
The GCF of 5779,4113 is 1 .
LCM of 228,9362 is 1067268.
The greatest common factor of 5779/228,4113/9362 = [GCF of 5779,4113]/[LCM of 228,9362]= 1/1067268
Therefore, the GCF of 5779/228,4113/9362 is 1/1067268.
To find the highest common factor of 5779,4113, we have to find the factors of both numbers and list the highest common factor.
The factors of 5779 are 1, 5779
The factors of 4113 are 1, 3, 9, 457, 1371, 4113
The HCF of 5779,4113 is 1.
Lets's calculate GCF of 5779,4113
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5779,4113 By Matching Biggest Common Factor Method
Now, list down the factors of 5779
:1,5779
Now, list down the factors of 4113
:1,3,9,457,1371,4113
Greatest Common Factor
We found the factors 5779,4113 . The biggest common factor number is the GCF number.
So the greatest common factor 5779,4113 is 1.
Lets's calculate LCM of 228,9362
| 2 | 228, 9362 |
| 114, 4681 |
∴ So the LCM of the given numbers is 2 x 114 x 4681 = 1067268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1067268
Therefore, the GCF of Fractions 5779/228,4113/9362 is 1/1067268
Least Common Multiple of 228,9362 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 228,9362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,9362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(228,9362) x common factors =2 x 1 = 2
LCM(228,9362) = ( 228 × 9362 ) / 2
LCM(228,9362) = 2134536 / 2
LCM(228,9362) = 1067268
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5779/228, 4113/9362
1. What is the HCF of 5779,4113?
The HCF of 5779,4113 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 5779/228, 4113/9362?
Answer: GCF of Numerators as per given numbers 5779/228, 4113/9362 is
GCF of Numerators i.e. for 5779,4113 is 1
LCM of denominators i.e. for 228,9362 is 1067268.
Thus, GCF of Fractions is 1/1067268.Finally, GCF of Fractions for 5779/228, 4113/9362 is 1/1067268.