GCF of 4827/998, 8270/311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4827/998, 8270/311 i.e 1/310378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4827/998, 8270/311.
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 4827/998,8270/311?
Given fractions are 4827/998,8270/311
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 4827/998,8270/311, numerators are 4827,8270
Denominators are 998,311
The GCF of 4827,8270 is 1 .
LCM of 998,311 is 310378.
The greatest common factor of 4827/998,8270/311 = [GCF of 4827,8270]/[LCM of 998,311]= 1/310378
Therefore, the GCF of 4827/998,8270/311 is 1/310378.
To find the highest common factor of 4827,8270, we have to find the factors of both numbers and list the highest common factor.
The factors of 4827 are 1, 3, 1609, 4827
The factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270
The HCF of 4827,8270 is 1.
Lets's calculate GCF of 4827,8270
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4827,8270 By Matching Biggest Common Factor Method
Now, list down the factors of 4827
:1,3,1609,4827
Now, list down the factors of 8270
:1,2,5,10,827,1654,4135,8270
Greatest Common Factor
We found the factors 4827,8270 . The biggest common factor number is the GCF number.
So the greatest common factor 4827,8270 is 1.
Lets's calculate LCM of 998,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 310378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310378
Therefore, the GCF of Fractions 4827/998,8270/311 is 1/310378
Least Common Multiple of 998,311 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 998,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,311) x common factors =1 x 1 = 1
LCM(998,311) = ( 998 × 311 ) / 1
LCM(998,311) = 310378 / 1
LCM(998,311) = 310378
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FAQs on GCF of Fractions of 4827/998, 8270/311
1. What is the HCF of 4827,8270?
The HCF of 4827,8270 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 4827/998, 8270/311?
Answer: GCF of Numerators as per given numbers 4827/998, 8270/311 is
GCF of Numerators i.e. for 4827,8270 is 1
LCM of denominators i.e. for 998,311 is 310378.
Thus, GCF of Fractions is 1/310378.Finally, GCF of Fractions for 4827/998, 8270/311 is 1/310378.