GCF of 8077/305, 1239/4814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8077/305, 1239/4814 i.e 1/1468270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8077/305, 1239/4814.
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 8077/305,1239/4814?
Given fractions are 8077/305,1239/4814
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 8077/305,1239/4814, numerators are 8077,1239
Denominators are 305,4814
The GCF of 8077,1239 is 1 .
LCM of 305,4814 is 1468270.
The greatest common factor of 8077/305,1239/4814 = [GCF of 8077,1239]/[LCM of 305,4814]= 1/1468270
Therefore, the GCF of 8077/305,1239/4814 is 1/1468270.
To find the highest common factor of 8077,1239, we have to find the factors of both numbers and list the highest common factor.
The factors of 8077 are 1, 41, 197, 8077
The factors of 1239 are 1, 3, 7, 21, 59, 177, 413, 1239
The HCF of 8077,1239 is 1.
Lets's calculate GCF of 8077,1239
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8077,1239 By Matching Biggest Common Factor Method
Now, list down the factors of 8077
:1,41,197,8077
Now, list down the factors of 1239
:1,3,7,21,59,177,413,1239
Greatest Common Factor
We found the factors 8077,1239 . The biggest common factor number is the GCF number.
So the greatest common factor 8077,1239 is 1.
Lets's calculate LCM of 305,4814
Given numbers has no common factors except 1. So, there LCM is their product i.e 1468270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1468270
Therefore, the GCF of Fractions 8077/305,1239/4814 is 1/1468270
Least Common Multiple of 305,4814 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 305,4814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,4814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,4814) x common factors =1 x 1 = 1
LCM(305,4814) = ( 305 × 4814 ) / 1
LCM(305,4814) = 1468270 / 1
LCM(305,4814) = 1468270
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FAQs on GCF of Fractions of 8077/305, 1239/4814
1. What is the HCF of 8077,1239?
The HCF of 8077,1239 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 8077/305, 1239/4814?
Answer: GCF of Numerators as per given numbers 8077/305, 1239/4814 is
GCF of Numerators i.e. for 8077,1239 is 1
LCM of denominators i.e. for 305,4814 is 1468270.
Thus, GCF of Fractions is 1/1468270.Finally, GCF of Fractions for 8077/305, 1239/4814 is 1/1468270.