GCF of 4885/294, 5839/388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4885/294, 5839/388 i.e 1/57036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4885/294, 5839/388.
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 4885/294,5839/388?
Given fractions are 4885/294,5839/388
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 4885/294,5839/388, numerators are 4885,5839
Denominators are 294,388
The GCF of 4885,5839 is 1 .
LCM of 294,388 is 57036.
The greatest common factor of 4885/294,5839/388 = [GCF of 4885,5839]/[LCM of 294,388]= 1/57036
Therefore, the GCF of 4885/294,5839/388 is 1/57036.
To find the highest common factor of 4885,5839, we have to find the factors of both numbers and list the highest common factor.
The factors of 4885 are 1, 5, 977, 4885
The factors of 5839 are 1, 5839
The HCF of 4885,5839 is 1.
Lets's calculate GCF of 4885,5839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4885,5839 By Matching Biggest Common Factor Method
Now, list down the factors of 4885
:1,5,977,4885
Now, list down the factors of 5839
:1,5839
Greatest Common Factor
We found the factors 4885,5839 . The biggest common factor number is the GCF number.
So the greatest common factor 4885,5839 is 1.
Lets's calculate LCM of 294,388
| 2 | 294, 388 |
| 147, 194 |
∴ So the LCM of the given numbers is 2 x 147 x 194 = 57036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57036
Therefore, the GCF of Fractions 4885/294,5839/388 is 1/57036
Least Common Multiple of 294,388 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 294,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,388) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(294,388) x common factors =2 x 1 = 2
LCM(294,388) = ( 294 × 388 ) / 2
LCM(294,388) = 114072 / 2
LCM(294,388) = 57036
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FAQs on GCF of Fractions of 4885/294, 5839/388
1. What is the HCF of 4885,5839?
The HCF of 4885,5839 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 4885/294, 5839/388?
Answer: GCF of Numerators as per given numbers 4885/294, 5839/388 is
GCF of Numerators i.e. for 4885,5839 is 1
LCM of denominators i.e. for 294,388 is 57036.
Thus, GCF of Fractions is 1/57036.Finally, GCF of Fractions for 4885/294, 5839/388 is 1/57036.