GCF of 6166/644, 9711/493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6166/644, 9711/493 i.e 1/317492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6166/644, 9711/493.
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 6166/644,9711/493?
Given fractions are 6166/644,9711/493
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 6166/644,9711/493, numerators are 6166,9711
Denominators are 644,493
The GCF of 6166,9711 is 1 .
LCM of 644,493 is 317492.
The greatest common factor of 6166/644,9711/493 = [GCF of 6166,9711]/[LCM of 644,493]= 1/317492
Therefore, the GCF of 6166/644,9711/493 is 1/317492.
To find the highest common factor of 6166,9711, we have to find the factors of both numbers and list the highest common factor.
The factors of 6166 are 1, 2, 3083, 6166
The factors of 9711 are 1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711
The HCF of 6166,9711 is 1.
Lets's calculate GCF of 6166,9711
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6166,9711 By Matching Biggest Common Factor Method
Now, list down the factors of 6166
:1,2,3083,6166
Now, list down the factors of 9711
:1,3,9,13,39,83,117,249,747,1079,3237,9711
Greatest Common Factor
We found the factors 6166,9711 . The biggest common factor number is the GCF number.
So the greatest common factor 6166,9711 is 1.
Lets's calculate LCM of 644,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 317492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317492
Therefore, the GCF of Fractions 6166/644,9711/493 is 1/317492
Least Common Multiple of 644,493 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 644,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,493) x common factors =1 x 1 = 1
LCM(644,493) = ( 644 × 493 ) / 1
LCM(644,493) = 317492 / 1
LCM(644,493) = 317492
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FAQs on GCF of Fractions of 6166/644, 9711/493
1. What is the HCF of 6166,9711?
The HCF of 6166,9711 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 6166/644, 9711/493?
Answer: GCF of Numerators as per given numbers 6166/644, 9711/493 is
GCF of Numerators i.e. for 6166,9711 is 1
LCM of denominators i.e. for 644,493 is 317492.
Thus, GCF of Fractions is 1/317492.Finally, GCF of Fractions for 6166/644, 9711/493 is 1/317492.