GCF of 3391/785, 3871/4818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3391/785, 3871/4818 i.e 1/3782130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3391/785, 3871/4818.
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 3391/785,3871/4818?
Given fractions are 3391/785,3871/4818
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 3391/785,3871/4818, numerators are 3391,3871
Denominators are 785,4818
The GCF of 3391,3871 is 1 .
LCM of 785,4818 is 3782130.
The greatest common factor of 3391/785,3871/4818 = [GCF of 3391,3871]/[LCM of 785,4818]= 1/3782130
Therefore, the GCF of 3391/785,3871/4818 is 1/3782130.
To find the highest common factor of 3391,3871, we have to find the factors of both numbers and list the highest common factor.
The factors of 3391 are 1, 3391
The factors of 3871 are 1, 7, 49, 79, 553, 3871
The HCF of 3391,3871 is 1.
Lets's calculate GCF of 3391,3871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3391,3871 By Matching Biggest Common Factor Method
Now, list down the factors of 3391
:1,3391
Now, list down the factors of 3871
:1,7,49,79,553,3871
Greatest Common Factor
We found the factors 3391,3871 . The biggest common factor number is the GCF number.
So the greatest common factor 3391,3871 is 1.
Lets's calculate LCM of 785,4818
Given numbers has no common factors except 1. So, there LCM is their product i.e 3782130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3782130
Therefore, the GCF of Fractions 3391/785,3871/4818 is 1/3782130
Least Common Multiple of 785,4818 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 785,4818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,4818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,4818) x common factors =1 x 1 = 1
LCM(785,4818) = ( 785 × 4818 ) / 1
LCM(785,4818) = 3782130 / 1
LCM(785,4818) = 3782130
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FAQs on GCF of Fractions of 3391/785, 3871/4818
1. What is the HCF of 3391,3871?
The HCF of 3391,3871 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 3391/785, 3871/4818?
Answer: GCF of Numerators as per given numbers 3391/785, 3871/4818 is
GCF of Numerators i.e. for 3391,3871 is 1
LCM of denominators i.e. for 785,4818 is 3782130.
Thus, GCF of Fractions is 1/3782130.Finally, GCF of Fractions for 3391/785, 3871/4818 is 1/3782130.