GCF of 99/27, 291/45, 642/691
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/27, 291/45, 642/691 i.e 3/93285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/27, 291/45, 642/691.
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 99/27,291/45,642/691?
Given fractions are 99/27,291/45,642/691
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 99/27,291/45,642/691, numerators are 99,291,642
Denominators are 27,45,691
The GCF of 99,291,642 is 3 .
LCM of 27,45,691 is 93285.
The greatest common factor of 99/27,291/45,642/691 = [GCF of 99,291,642]/[LCM of 27,45,691]= 3/93285
Therefore, the GCF of 99/27,291/45,642/691 is 3/93285.
To find the highest common factor of 99,291,642, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 291 are 1, 3, 97, 291
The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642
The HCF of 99,291,642 is 3.
Lets's calculate GCF of 99,291,642
| 3 | 99, 291, 642 |
| 33, 97, 214 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 99,291,642 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 291
:1,3,97,291
Now, list down the factors of 642
:1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 99,291,642 . The biggest common factor number is the GCF number.
So the greatest common factor 99,291,642 is 3.
Lets's calculate LCM of 27,45,691
| 3 | 27, 45, 691 |
| 3 | 9, 15, 691 |
| 3, 5, 691 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 691 = 93285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/93285
Therefore, the GCF of Fractions 99/27,291/45,642/691 is 3/93285
Least Common Multiple of 27,45,691 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 27,45,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,45,691) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(27,45,691) x common factors =1 x 9 = 9
LCM(27,45,691) = ( 27 × 45 × 691 ) / 9
LCM(27,45,691) = 839565 / 9
LCM(27,45,691) = 93285
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FAQs on GCF of Fractions of 99/27, 291/45, 642/691
1. What is the HCF of 99,291,642?
The HCF of 99,291,642 is 3
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 99/27, 291/45, 642/691?
Answer: GCF of Numerators as per given numbers 99/27, 291/45, 642/691 is
GCF of Numerators i.e. for 99,291,642 is 3
LCM of denominators i.e. for 27,45,691 is 93285.
Thus, GCF of Fractions is 3/93285.Finally, GCF of Fractions for 99/27, 291/45, 642/691 is 3/93285.