GCF of 7811/851, 6842/743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7811/851, 6842/743 i.e 1/632293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7811/851, 6842/743.
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 7811/851,6842/743?
Given fractions are 7811/851,6842/743
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 7811/851,6842/743, numerators are 7811,6842
Denominators are 851,743
The GCF of 7811,6842 is 1 .
LCM of 851,743 is 632293.
The greatest common factor of 7811/851,6842/743 = [GCF of 7811,6842]/[LCM of 851,743]= 1/632293
Therefore, the GCF of 7811/851,6842/743 is 1/632293.
To find the highest common factor of 7811,6842, we have to find the factors of both numbers and list the highest common factor.
The factors of 7811 are 1, 73, 107, 7811
The factors of 6842 are 1, 2, 11, 22, 311, 622, 3421, 6842
The HCF of 7811,6842 is 1.
Lets's calculate GCF of 7811,6842
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7811,6842 By Matching Biggest Common Factor Method
Now, list down the factors of 7811
:1,73,107,7811
Now, list down the factors of 6842
:1,2,11,22,311,622,3421,6842
Greatest Common Factor
We found the factors 7811,6842 . The biggest common factor number is the GCF number.
So the greatest common factor 7811,6842 is 1.
Lets's calculate LCM of 851,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 632293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/632293
Therefore, the GCF of Fractions 7811/851,6842/743 is 1/632293
Least Common Multiple of 851,743 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 851,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,743) x common factors =1 x 1 = 1
LCM(851,743) = ( 851 × 743 ) / 1
LCM(851,743) = 632293 / 1
LCM(851,743) = 632293
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FAQs on GCF of Fractions of 7811/851, 6842/743
1. What is the HCF of 7811,6842?
The HCF of 7811,6842 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 7811/851, 6842/743?
Answer: GCF of Numerators as per given numbers 7811/851, 6842/743 is
GCF of Numerators i.e. for 7811,6842 is 1
LCM of denominators i.e. for 851,743 is 632293.
Thus, GCF of Fractions is 1/632293.Finally, GCF of Fractions for 7811/851, 6842/743 is 1/632293.