GCF of 4777/298, 8079/909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4777/298, 8079/909 i.e 1/270882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4777/298, 8079/909.
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 4777/298,8079/909?
Given fractions are 4777/298,8079/909
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 4777/298,8079/909, numerators are 4777,8079
Denominators are 298,909
The GCF of 4777,8079 is 1 .
LCM of 298,909 is 270882.
The greatest common factor of 4777/298,8079/909 = [GCF of 4777,8079]/[LCM of 298,909]= 1/270882
Therefore, the GCF of 4777/298,8079/909 is 1/270882.
To find the highest common factor of 4777,8079, we have to find the factors of both numbers and list the highest common factor.
The factors of 4777 are 1, 17, 281, 4777
The factors of 8079 are 1, 3, 2693, 8079
The HCF of 4777,8079 is 1.
Lets's calculate GCF of 4777,8079
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4777,8079 By Matching Biggest Common Factor Method
Now, list down the factors of 4777
:1,17,281,4777
Now, list down the factors of 8079
:1,3,2693,8079
Greatest Common Factor
We found the factors 4777,8079 . The biggest common factor number is the GCF number.
So the greatest common factor 4777,8079 is 1.
Lets's calculate LCM of 298,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 270882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270882
Therefore, the GCF of Fractions 4777/298,8079/909 is 1/270882
Least Common Multiple of 298,909 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 298,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,909) x common factors =1 x 1 = 1
LCM(298,909) = ( 298 × 909 ) / 1
LCM(298,909) = 270882 / 1
LCM(298,909) = 270882
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FAQs on GCF of Fractions of 4777/298, 8079/909
1. What is the HCF of 4777,8079?
The HCF of 4777,8079 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 4777/298, 8079/909?
Answer: GCF of Numerators as per given numbers 4777/298, 8079/909 is
GCF of Numerators i.e. for 4777,8079 is 1
LCM of denominators i.e. for 298,909 is 270882.
Thus, GCF of Fractions is 1/270882.Finally, GCF of Fractions for 4777/298, 8079/909 is 1/270882.