GCF of 6546/511, 7469/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6546/511, 7469/209 i.e 1/106799 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6546/511, 7469/209.
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 6546/511,7469/209?
Given fractions are 6546/511,7469/209
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 6546/511,7469/209, numerators are 6546,7469
Denominators are 511,209
The GCF of 6546,7469 is 1 .
LCM of 511,209 is 106799.
The greatest common factor of 6546/511,7469/209 = [GCF of 6546,7469]/[LCM of 511,209]= 1/106799
Therefore, the GCF of 6546/511,7469/209 is 1/106799.
To find the highest common factor of 6546,7469, we have to find the factors of both numbers and list the highest common factor.
The factors of 6546 are 1, 2, 3, 6, 1091, 2182, 3273, 6546
The factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469
The HCF of 6546,7469 is 1.
Lets's calculate GCF of 6546,7469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6546,7469 By Matching Biggest Common Factor Method
Now, list down the factors of 6546
:1,2,3,6,1091,2182,3273,6546
Now, list down the factors of 7469
:1,7,11,77,97,679,1067,7469
Greatest Common Factor
We found the factors 6546,7469 . The biggest common factor number is the GCF number.
So the greatest common factor 6546,7469 is 1.
Lets's calculate LCM of 511,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 106799
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106799
Therefore, the GCF of Fractions 6546/511,7469/209 is 1/106799
Least Common Multiple of 511,209 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 511,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,209) x common factors =1 x 1 = 1
LCM(511,209) = ( 511 × 209 ) / 1
LCM(511,209) = 106799 / 1
LCM(511,209) = 106799
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FAQs on GCF of Fractions of 6546/511, 7469/209
1. What is the HCF of 6546,7469?
The HCF of 6546,7469 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 6546/511, 7469/209?
Answer: GCF of Numerators as per given numbers 6546/511, 7469/209 is
GCF of Numerators i.e. for 6546,7469 is 1
LCM of denominators i.e. for 511,209 is 106799.
Thus, GCF of Fractions is 1/106799.Finally, GCF of Fractions for 6546/511, 7469/209 is 1/106799.