GCF of 6811/185, 5328/546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6811/185, 5328/546 i.e 1/101010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6811/185, 5328/546.
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 6811/185,5328/546?
Given fractions are 6811/185,5328/546
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 6811/185,5328/546, numerators are 6811,5328
Denominators are 185,546
The GCF of 6811,5328 is 1 .
LCM of 185,546 is 101010.
The greatest common factor of 6811/185,5328/546 = [GCF of 6811,5328]/[LCM of 185,546]= 1/101010
Therefore, the GCF of 6811/185,5328/546 is 1/101010.
To find the highest common factor of 6811,5328, we have to find the factors of both numbers and list the highest common factor.
The factors of 6811 are 1, 7, 49, 139, 973, 6811
The factors of 5328 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328
The HCF of 6811,5328 is 1.
Lets's calculate GCF of 6811,5328
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6811,5328 By Matching Biggest Common Factor Method
Now, list down the factors of 6811
:1,7,49,139,973,6811
Now, list down the factors of 5328
:1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328
Greatest Common Factor
We found the factors 6811,5328 . The biggest common factor number is the GCF number.
So the greatest common factor 6811,5328 is 1.
Lets's calculate LCM of 185,546
Given numbers has no common factors except 1. So, there LCM is their product i.e 101010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101010
Therefore, the GCF of Fractions 6811/185,5328/546 is 1/101010
Least Common Multiple of 185,546 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 185,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,546) x common factors =1 x 1 = 1
LCM(185,546) = ( 185 × 546 ) / 1
LCM(185,546) = 101010 / 1
LCM(185,546) = 101010
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FAQs on GCF of Fractions of 6811/185, 5328/546
1. What is the HCF of 6811,5328?
The HCF of 6811,5328 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 6811/185, 5328/546?
Answer: GCF of Numerators as per given numbers 6811/185, 5328/546 is
GCF of Numerators i.e. for 6811,5328 is 1
LCM of denominators i.e. for 185,546 is 101010.
Thus, GCF of Fractions is 1/101010.Finally, GCF of Fractions for 6811/185, 5328/546 is 1/101010.