GCF of 2763/811, 8486/4694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2763/811, 8486/4694 i.e 1/3806834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2763/811, 8486/4694.
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 2763/811,8486/4694?
Given fractions are 2763/811,8486/4694
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 2763/811,8486/4694, numerators are 2763,8486
Denominators are 811,4694
The GCF of 2763,8486 is 1 .
LCM of 811,4694 is 3806834.
The greatest common factor of 2763/811,8486/4694 = [GCF of 2763,8486]/[LCM of 811,4694]= 1/3806834
Therefore, the GCF of 2763/811,8486/4694 is 1/3806834.
To find the highest common factor of 2763,8486, we have to find the factors of both numbers and list the highest common factor.
The factors of 2763 are 1, 3, 9, 307, 921, 2763
The factors of 8486 are 1, 2, 4243, 8486
The HCF of 2763,8486 is 1.
Lets's calculate GCF of 2763,8486
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2763,8486 By Matching Biggest Common Factor Method
Now, list down the factors of 2763
:1,3,9,307,921,2763
Now, list down the factors of 8486
:1,2,4243,8486
Greatest Common Factor
We found the factors 2763,8486 . The biggest common factor number is the GCF number.
So the greatest common factor 2763,8486 is 1.
Lets's calculate LCM of 811,4694
Given numbers has no common factors except 1. So, there LCM is their product i.e 3806834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3806834
Therefore, the GCF of Fractions 2763/811,8486/4694 is 1/3806834
Least Common Multiple of 811,4694 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 811,4694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,4694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,4694) x common factors =1 x 1 = 1
LCM(811,4694) = ( 811 × 4694 ) / 1
LCM(811,4694) = 3806834 / 1
LCM(811,4694) = 3806834
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2763/811, 8486/4694
1. What is the HCF of 2763,8486?
The HCF of 2763,8486 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 2763/811, 8486/4694?
Answer: GCF of Numerators as per given numbers 2763/811, 8486/4694 is
GCF of Numerators i.e. for 2763,8486 is 1
LCM of denominators i.e. for 811,4694 is 3806834.
Thus, GCF of Fractions is 1/3806834.Finally, GCF of Fractions for 2763/811, 8486/4694 is 1/3806834.