GCF of 2721/414, 7331/5997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2721/414, 7331/5997 i.e 1/827586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2721/414, 7331/5997.
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 2721/414,7331/5997?
Given fractions are 2721/414,7331/5997
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 2721/414,7331/5997, numerators are 2721,7331
Denominators are 414,5997
The GCF of 2721,7331 is 1 .
LCM of 414,5997 is 827586.
The greatest common factor of 2721/414,7331/5997 = [GCF of 2721,7331]/[LCM of 414,5997]= 1/827586
Therefore, the GCF of 2721/414,7331/5997 is 1/827586.
To find the highest common factor of 2721,7331, we have to find the factors of both numbers and list the highest common factor.
The factors of 2721 are 1, 3, 907, 2721
The factors of 7331 are 1, 7331
The HCF of 2721,7331 is 1.
Lets's calculate GCF of 2721,7331
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2721,7331 By Matching Biggest Common Factor Method
Now, list down the factors of 2721
:1,3,907,2721
Now, list down the factors of 7331
:1,7331
Greatest Common Factor
We found the factors 2721,7331 . The biggest common factor number is the GCF number.
So the greatest common factor 2721,7331 is 1.
Lets's calculate LCM of 414,5997
| 3 | 414, 5997 |
| 138, 1999 |
∴ So the LCM of the given numbers is 3 x 138 x 1999 = 827586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/827586
Therefore, the GCF of Fractions 2721/414,7331/5997 is 1/827586
Least Common Multiple of 414,5997 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 414,5997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,5997) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(414,5997) x common factors =3 x 1 = 3
LCM(414,5997) = ( 414 × 5997 ) / 3
LCM(414,5997) = 2482758 / 3
LCM(414,5997) = 827586
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FAQs on GCF of Fractions of 2721/414, 7331/5997
1. What is the HCF of 2721,7331?
The HCF of 2721,7331 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 2721/414, 7331/5997?
Answer: GCF of Numerators as per given numbers 2721/414, 7331/5997 is
GCF of Numerators i.e. for 2721,7331 is 1
LCM of denominators i.e. for 414,5997 is 827586.
Thus, GCF of Fractions is 1/827586.Finally, GCF of Fractions for 2721/414, 7331/5997 is 1/827586.