GCF of 1391/717, 4867/8257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1391/717, 4867/8257 i.e 1/5920269 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1391/717, 4867/8257.
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 1391/717,4867/8257?
Given fractions are 1391/717,4867/8257
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 1391/717,4867/8257, numerators are 1391,4867
Denominators are 717,8257
The GCF of 1391,4867 is 1 .
LCM of 717,8257 is 5920269.
The greatest common factor of 1391/717,4867/8257 = [GCF of 1391,4867]/[LCM of 717,8257]= 1/5920269
Therefore, the GCF of 1391/717,4867/8257 is 1/5920269.
To find the highest common factor of 1391,4867, we have to find the factors of both numbers and list the highest common factor.
The factors of 1391 are 1, 13, 107, 1391
The factors of 4867 are 1, 31, 157, 4867
The HCF of 1391,4867 is 1.
Lets's calculate GCF of 1391,4867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1391,4867 By Matching Biggest Common Factor Method
Now, list down the factors of 1391
:1,13,107,1391
Now, list down the factors of 4867
:1,31,157,4867
Greatest Common Factor
We found the factors 1391,4867 . The biggest common factor number is the GCF number.
So the greatest common factor 1391,4867 is 1.
Lets's calculate LCM of 717,8257
Given numbers has no common factors except 1. So, there LCM is their product i.e 5920269
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5920269
Therefore, the GCF of Fractions 1391/717,4867/8257 is 1/5920269
Least Common Multiple of 717,8257 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 717,8257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,8257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,8257) x common factors =1 x 1 = 1
LCM(717,8257) = ( 717 × 8257 ) / 1
LCM(717,8257) = 5920269 / 1
LCM(717,8257) = 5920269
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FAQs on GCF of Fractions of 1391/717, 4867/8257
1. What is the HCF of 1391,4867?
The HCF of 1391,4867 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 1391/717, 4867/8257?
Answer: GCF of Numerators as per given numbers 1391/717, 4867/8257 is
GCF of Numerators i.e. for 1391,4867 is 1
LCM of denominators i.e. for 717,8257 is 5920269.
Thus, GCF of Fractions is 1/5920269.Finally, GCF of Fractions for 1391/717, 4867/8257 is 1/5920269.