GCF of 4859/208, 6880/9353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4859/208, 6880/9353 i.e 43/1945424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4859/208, 6880/9353.
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 4859/208,6880/9353?
Given fractions are 4859/208,6880/9353
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 4859/208,6880/9353, numerators are 4859,6880
Denominators are 208,9353
The GCF of 4859,6880 is 43 .
LCM of 208,9353 is 1945424.
The greatest common factor of 4859/208,6880/9353 = [GCF of 4859,6880]/[LCM of 208,9353]= 43/1945424
Therefore, the GCF of 4859/208,6880/9353 is 43/1945424.
To find the highest common factor of 4859,6880, we have to find the factors of both numbers and list the highest common factor.
The factors of 4859 are 1, 43, 113, 4859
The factors of 6880 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880
The HCF of 4859,6880 is 43.
Lets's calculate GCF of 4859,6880
| 43 | 4859, 6880 |
| 113, 160 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 4859,6880 By Matching Biggest Common Factor Method
Now, list down the factors of 4859
:1,43,113,4859
Now, list down the factors of 6880
:1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880
Greatest Common Factor
We found the factors 4859,6880 . The biggest common factor number is the GCF number.
So the greatest common factor 4859,6880 is 43.
Lets's calculate LCM of 208,9353
Given numbers has no common factors except 1. So, there LCM is their product i.e 1945424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/1945424
Therefore, the GCF of Fractions 4859/208,6880/9353 is 43/1945424
Least Common Multiple of 208,9353 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 208,9353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,9353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(208,9353) x common factors =1 x 1 = 1
LCM(208,9353) = ( 208 × 9353 ) / 1
LCM(208,9353) = 1945424 / 1
LCM(208,9353) = 1945424
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FAQs on GCF of Fractions of 4859/208, 6880/9353
1. What is the HCF of 4859,6880?
The HCF of 4859,6880 is 43
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 4859/208, 6880/9353?
Answer: GCF of Numerators as per given numbers 4859/208, 6880/9353 is
GCF of Numerators i.e. for 4859,6880 is 43
LCM of denominators i.e. for 208,9353 is 1945424.
Thus, GCF of Fractions is 43/1945424.Finally, GCF of Fractions for 4859/208, 6880/9353 is 43/1945424.