GCF of 3291/543, 6805/351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3291/543, 6805/351 i.e 1/63531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3291/543, 6805/351.
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 3291/543,6805/351?
Given fractions are 3291/543,6805/351
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 3291/543,6805/351, numerators are 3291,6805
Denominators are 543,351
The GCF of 3291,6805 is 1 .
LCM of 543,351 is 63531.
The greatest common factor of 3291/543,6805/351 = [GCF of 3291,6805]/[LCM of 543,351]= 1/63531
Therefore, the GCF of 3291/543,6805/351 is 1/63531.
To find the highest common factor of 3291,6805, we have to find the factors of both numbers and list the highest common factor.
The factors of 3291 are 1, 3, 1097, 3291
The factors of 6805 are 1, 5, 1361, 6805
The HCF of 3291,6805 is 1.
Lets's calculate GCF of 3291,6805
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3291,6805 By Matching Biggest Common Factor Method
Now, list down the factors of 3291
:1,3,1097,3291
Now, list down the factors of 6805
:1,5,1361,6805
Greatest Common Factor
We found the factors 3291,6805 . The biggest common factor number is the GCF number.
So the greatest common factor 3291,6805 is 1.
Lets's calculate LCM of 543,351
| 3 | 543, 351 |
| 181, 117 |
∴ So the LCM of the given numbers is 3 x 181 x 117 = 63531
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63531
Therefore, the GCF of Fractions 3291/543,6805/351 is 1/63531
Least Common Multiple of 543,351 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 543,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,351) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(543,351) x common factors =3 x 1 = 3
LCM(543,351) = ( 543 × 351 ) / 3
LCM(543,351) = 190593 / 3
LCM(543,351) = 63531
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FAQs on GCF of Fractions of 3291/543, 6805/351
1. What is the HCF of 3291,6805?
The HCF of 3291,6805 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 3291/543, 6805/351?
Answer: GCF of Numerators as per given numbers 3291/543, 6805/351 is
GCF of Numerators i.e. for 3291,6805 is 1
LCM of denominators i.e. for 543,351 is 63531.
Thus, GCF of Fractions is 1/63531.Finally, GCF of Fractions for 3291/543, 6805/351 is 1/63531.