GCF of 5849/901, 2384/347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5849/901, 2384/347 i.e 1/312647 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5849/901, 2384/347.
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 5849/901,2384/347?
Given fractions are 5849/901,2384/347
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 5849/901,2384/347, numerators are 5849,2384
Denominators are 901,347
The GCF of 5849,2384 is 1 .
LCM of 901,347 is 312647.
The greatest common factor of 5849/901,2384/347 = [GCF of 5849,2384]/[LCM of 901,347]= 1/312647
Therefore, the GCF of 5849/901,2384/347 is 1/312647.
To find the highest common factor of 5849,2384, we have to find the factors of both numbers and list the highest common factor.
The factors of 5849 are 1, 5849
The factors of 2384 are 1, 2, 4, 8, 16, 149, 298, 596, 1192, 2384
The HCF of 5849,2384 is 1.
Lets's calculate GCF of 5849,2384
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5849,2384 By Matching Biggest Common Factor Method
Now, list down the factors of 5849
:1,5849
Now, list down the factors of 2384
:1,2,4,8,16,149,298,596,1192,2384
Greatest Common Factor
We found the factors 5849,2384 . The biggest common factor number is the GCF number.
So the greatest common factor 5849,2384 is 1.
Lets's calculate LCM of 901,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 312647
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312647
Therefore, the GCF of Fractions 5849/901,2384/347 is 1/312647
Least Common Multiple of 901,347 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 901,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,347) x common factors =1 x 1 = 1
LCM(901,347) = ( 901 × 347 ) / 1
LCM(901,347) = 312647 / 1
LCM(901,347) = 312647
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FAQs on GCF of Fractions of 5849/901, 2384/347
1. What is the HCF of 5849,2384?
The HCF of 5849,2384 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 5849/901, 2384/347?
Answer: GCF of Numerators as per given numbers 5849/901, 2384/347 is
GCF of Numerators i.e. for 5849,2384 is 1
LCM of denominators i.e. for 901,347 is 312647.
Thus, GCF of Fractions is 1/312647.Finally, GCF of Fractions for 5849/901, 2384/347 is 1/312647.