GCF of 36/27, 97/29, 309/899
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/27, 97/29, 309/899 i.e 1/24273 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/27, 97/29, 309/899.
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 36/27,97/29,309/899?
Given fractions are 36/27,97/29,309/899
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 36/27,97/29,309/899, numerators are 36,97,309
Denominators are 27,29,899
The GCF of 36,97,309 is 1 .
LCM of 27,29,899 is 24273.
The greatest common factor of 36/27,97/29,309/899 = [GCF of 36,97,309]/[LCM of 27,29,899]= 1/24273
Therefore, the GCF of 36/27,97/29,309/899 is 1/24273.
To find the highest common factor of 36,97,309, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 97 are 1, 97
The factors of 309 are 1, 3, 103, 309
The HCF of 36,97,309 is 1.
Lets's calculate GCF of 36,97,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,97,309 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 97
:1,97
Now, list down the factors of 309
:1,3,103,309
Greatest Common Factor
We found the factors 36,97,309 . The biggest common factor number is the GCF number.
So the greatest common factor 36,97,309 is 1.
Lets's calculate LCM of 27,29,899
| 29 | 27, 29, 899 |
| 27, 1, 31 |
∴ So the LCM of the given numbers is 29 x 27 x 1 x 31 = 24273
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24273
Therefore, the GCF of Fractions 36/27,97/29,309/899 is 1/24273
Least Common Multiple of 27,29,899 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 27,29,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,29,899) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(27,29,899) x common factors =1 x 29 = 29
LCM(27,29,899) = ( 27 × 29 × 899 ) / 29
LCM(27,29,899) = 703917 / 29
LCM(27,29,899) = 24273
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FAQs on GCF of Fractions of 36/27, 97/29, 309/899
1. What is the HCF of 36,97,309?
The HCF of 36,97,309 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 36/27, 97/29, 309/899?
Answer: GCF of Numerators as per given numbers 36/27, 97/29, 309/899 is
GCF of Numerators i.e. for 36,97,309 is 1
LCM of denominators i.e. for 27,29,899 is 24273.
Thus, GCF of Fractions is 1/24273.Finally, GCF of Fractions for 36/27, 97/29, 309/899 is 1/24273.