GCF of 4913/847, 6824/385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4913/847, 6824/385 i.e 1/4235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4913/847, 6824/385.
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 4913/847,6824/385?
Given fractions are 4913/847,6824/385
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 4913/847,6824/385, numerators are 4913,6824
Denominators are 847,385
The GCF of 4913,6824 is 1 .
LCM of 847,385 is 4235.
The greatest common factor of 4913/847,6824/385 = [GCF of 4913,6824]/[LCM of 847,385]= 1/4235
Therefore, the GCF of 4913/847,6824/385 is 1/4235.
To find the highest common factor of 4913,6824, we have to find the factors of both numbers and list the highest common factor.
The factors of 4913 are 1, 17, 289, 4913
The factors of 6824 are 1, 2, 4, 8, 853, 1706, 3412, 6824
The HCF of 4913,6824 is 1.
Lets's calculate GCF of 4913,6824
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4913,6824 By Matching Biggest Common Factor Method
Now, list down the factors of 4913
:1,17,289,4913
Now, list down the factors of 6824
:1,2,4,8,853,1706,3412,6824
Greatest Common Factor
We found the factors 4913,6824 . The biggest common factor number is the GCF number.
So the greatest common factor 4913,6824 is 1.
Lets's calculate LCM of 847,385
| 7 | 847, 385 |
| 11 | 121, 55 |
| 11, 5 |
∴ So the LCM of the given numbers is 7 x 11 x 11 x 5 = 4235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4235
Therefore, the GCF of Fractions 4913/847,6824/385 is 1/4235
Least Common Multiple of 847,385 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 847,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,385) = 77
common factors(in case of two or more numbers have common factors) = 1
GCF(847,385) x common factors =77 x 1 = 77
LCM(847,385) = ( 847 × 385 ) / 77
LCM(847,385) = 326095 / 77
LCM(847,385) = 4235
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FAQs on GCF of Fractions of 4913/847, 6824/385
1. What is the HCF of 4913,6824?
The HCF of 4913,6824 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 4913/847, 6824/385?
Answer: GCF of Numerators as per given numbers 4913/847, 6824/385 is
GCF of Numerators i.e. for 4913,6824 is 1
LCM of denominators i.e. for 847,385 is 4235.
Thus, GCF of Fractions is 1/4235.Finally, GCF of Fractions for 4913/847, 6824/385 is 1/4235.