GCF of 6845/487, 8956/397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6845/487, 8956/397 i.e 1/193339 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6845/487, 8956/397.
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 6845/487,8956/397?
Given fractions are 6845/487,8956/397
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 6845/487,8956/397, numerators are 6845,8956
Denominators are 487,397
The GCF of 6845,8956 is 1 .
LCM of 487,397 is 193339.
The greatest common factor of 6845/487,8956/397 = [GCF of 6845,8956]/[LCM of 487,397]= 1/193339
Therefore, the GCF of 6845/487,8956/397 is 1/193339.
To find the highest common factor of 6845,8956, we have to find the factors of both numbers and list the highest common factor.
The factors of 6845 are 1, 5, 37, 185, 1369, 6845
The factors of 8956 are 1, 2, 4, 2239, 4478, 8956
The HCF of 6845,8956 is 1.
Lets's calculate GCF of 6845,8956
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6845,8956 By Matching Biggest Common Factor Method
Now, list down the factors of 6845
:1,5,37,185,1369,6845
Now, list down the factors of 8956
:1,2,4,2239,4478,8956
Greatest Common Factor
We found the factors 6845,8956 . The biggest common factor number is the GCF number.
So the greatest common factor 6845,8956 is 1.
Lets's calculate LCM of 487,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 193339
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193339
Therefore, the GCF of Fractions 6845/487,8956/397 is 1/193339
Least Common Multiple of 487,397 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 487,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,397) x common factors =1 x 1 = 1
LCM(487,397) = ( 487 × 397 ) / 1
LCM(487,397) = 193339 / 1
LCM(487,397) = 193339
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FAQs on GCF of Fractions of 6845/487, 8956/397
1. What is the HCF of 6845,8956?
The HCF of 6845,8956 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 6845/487, 8956/397?
Answer: GCF of Numerators as per given numbers 6845/487, 8956/397 is
GCF of Numerators i.e. for 6845,8956 is 1
LCM of denominators i.e. for 487,397 is 193339.
Thus, GCF of Fractions is 1/193339.Finally, GCF of Fractions for 6845/487, 8956/397 is 1/193339.