GCF of 4933/546, 8215/848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4933/546, 8215/848 i.e 1/231504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4933/546, 8215/848.
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 4933/546,8215/848?
Given fractions are 4933/546,8215/848
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 4933/546,8215/848, numerators are 4933,8215
Denominators are 546,848
The GCF of 4933,8215 is 1 .
LCM of 546,848 is 231504.
The greatest common factor of 4933/546,8215/848 = [GCF of 4933,8215]/[LCM of 546,848]= 1/231504
Therefore, the GCF of 4933/546,8215/848 is 1/231504.
To find the highest common factor of 4933,8215, we have to find the factors of both numbers and list the highest common factor.
The factors of 4933 are 1, 4933
The factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215
The HCF of 4933,8215 is 1.
Lets's calculate GCF of 4933,8215
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4933,8215 By Matching Biggest Common Factor Method
Now, list down the factors of 4933
:1,4933
Now, list down the factors of 8215
:1,5,31,53,155,265,1643,8215
Greatest Common Factor
We found the factors 4933,8215 . The biggest common factor number is the GCF number.
So the greatest common factor 4933,8215 is 1.
Lets's calculate LCM of 546,848
| 2 | 546, 848 |
| 273, 424 |
∴ So the LCM of the given numbers is 2 x 273 x 424 = 231504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/231504
Therefore, the GCF of Fractions 4933/546,8215/848 is 1/231504
Least Common Multiple of 546,848 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 546,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,848) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(546,848) x common factors =2 x 1 = 2
LCM(546,848) = ( 546 × 848 ) / 2
LCM(546,848) = 463008 / 2
LCM(546,848) = 231504
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FAQs on GCF of Fractions of 4933/546, 8215/848
1. What is the HCF of 4933,8215?
The HCF of 4933,8215 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 4933/546, 8215/848?
Answer: GCF of Numerators as per given numbers 4933/546, 8215/848 is
GCF of Numerators i.e. for 4933,8215 is 1
LCM of denominators i.e. for 546,848 is 231504.
Thus, GCF of Fractions is 1/231504.Finally, GCF of Fractions for 4933/546, 8215/848 is 1/231504.