GCF of 3871/364, 5653/6786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3871/364, 5653/6786 i.e 1/95004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3871/364, 5653/6786.
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 3871/364,5653/6786?
Given fractions are 3871/364,5653/6786
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 3871/364,5653/6786, numerators are 3871,5653
Denominators are 364,6786
The GCF of 3871,5653 is 1 .
LCM of 364,6786 is 95004.
The greatest common factor of 3871/364,5653/6786 = [GCF of 3871,5653]/[LCM of 364,6786]= 1/95004
Therefore, the GCF of 3871/364,5653/6786 is 1/95004.
To find the highest common factor of 3871,5653, we have to find the factors of both numbers and list the highest common factor.
The factors of 3871 are 1, 7, 49, 79, 553, 3871
The factors of 5653 are 1, 5653
The HCF of 3871,5653 is 1.
Lets's calculate GCF of 3871,5653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3871,5653 By Matching Biggest Common Factor Method
Now, list down the factors of 3871
:1,7,49,79,553,3871
Now, list down the factors of 5653
:1,5653
Greatest Common Factor
We found the factors 3871,5653 . The biggest common factor number is the GCF number.
So the greatest common factor 3871,5653 is 1.
Lets's calculate LCM of 364,6786
| 2 | 364, 6786 |
| 13 | 182, 3393 |
| 14, 261 |
∴ So the LCM of the given numbers is 2 x 13 x 14 x 261 = 95004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95004
Therefore, the GCF of Fractions 3871/364,5653/6786 is 1/95004
Least Common Multiple of 364,6786 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 364,6786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,6786) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(364,6786) x common factors =26 x 1 = 26
LCM(364,6786) = ( 364 × 6786 ) / 26
LCM(364,6786) = 2470104 / 26
LCM(364,6786) = 95004
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FAQs on GCF of Fractions of 3871/364, 5653/6786
1. What is the HCF of 3871,5653?
The HCF of 3871,5653 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 3871/364, 5653/6786?
Answer: GCF of Numerators as per given numbers 3871/364, 5653/6786 is
GCF of Numerators i.e. for 3871,5653 is 1
LCM of denominators i.e. for 364,6786 is 95004.
Thus, GCF of Fractions is 1/95004.Finally, GCF of Fractions for 3871/364, 5653/6786 is 1/95004.