GCF of 6795/216, 5081/7289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6795/216, 5081/7289 i.e 1/1574424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6795/216, 5081/7289.
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 6795/216,5081/7289?
Given fractions are 6795/216,5081/7289
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 6795/216,5081/7289, numerators are 6795,5081
Denominators are 216,7289
The GCF of 6795,5081 is 1 .
LCM of 216,7289 is 1574424.
The greatest common factor of 6795/216,5081/7289 = [GCF of 6795,5081]/[LCM of 216,7289]= 1/1574424
Therefore, the GCF of 6795/216,5081/7289 is 1/1574424.
To find the highest common factor of 6795,5081, we have to find the factors of both numbers and list the highest common factor.
The factors of 6795 are 1, 3, 5, 9, 15, 45, 151, 453, 755, 1359, 2265, 6795
The factors of 5081 are 1, 5081
The HCF of 6795,5081 is 1.
Lets's calculate GCF of 6795,5081
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6795,5081 By Matching Biggest Common Factor Method
Now, list down the factors of 6795
:1,3,5,9,15,45,151,453,755,1359,2265,6795
Now, list down the factors of 5081
:1,5081
Greatest Common Factor
We found the factors 6795,5081 . The biggest common factor number is the GCF number.
So the greatest common factor 6795,5081 is 1.
Lets's calculate LCM of 216,7289
Given numbers has no common factors except 1. So, there LCM is their product i.e 1574424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1574424
Therefore, the GCF of Fractions 6795/216,5081/7289 is 1/1574424
Least Common Multiple of 216,7289 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 216,7289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,7289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(216,7289) x common factors =1 x 1 = 1
LCM(216,7289) = ( 216 × 7289 ) / 1
LCM(216,7289) = 1574424 / 1
LCM(216,7289) = 1574424
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FAQs on GCF of Fractions of 6795/216, 5081/7289
1. What is the HCF of 6795,5081?
The HCF of 6795,5081 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 6795/216, 5081/7289?
Answer: GCF of Numerators as per given numbers 6795/216, 5081/7289 is
GCF of Numerators i.e. for 6795,5081 is 1
LCM of denominators i.e. for 216,7289 is 1574424.
Thus, GCF of Fractions is 1/1574424.Finally, GCF of Fractions for 6795/216, 5081/7289 is 1/1574424.