GCF of 97/240, 23/330, 905/253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 97/240, 23/330, 905/253 i.e 1/60720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/240, 23/330, 905/253.
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 97/240,23/330,905/253?
Given fractions are 97/240,23/330,905/253
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 97/240,23/330,905/253, numerators are 97,23,905
Denominators are 240,330,253
The GCF of 97,23,905 is 1 .
LCM of 240,330,253 is 60720.
The greatest common factor of 97/240,23/330,905/253 = [GCF of 97,23,905]/[LCM of 240,330,253]= 1/60720
Therefore, the GCF of 97/240,23/330,905/253 is 1/60720.
To find the highest common factor of 97,23,905, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 23 are 1, 23
The factors of 905 are 1, 5, 181, 905
The HCF of 97,23,905 is 1.
Lets's calculate GCF of 97,23,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 97,23,905 By Matching Biggest Common Factor Method
Now, list down the factors of 97
:1,97
Now, list down the factors of 23
:1,23
Now, list down the factors of 905
:1,5,181,905
Greatest Common Factor
We found the factors 97,23,905 . The biggest common factor number is the GCF number.
So the greatest common factor 97,23,905 is 1.
Lets's calculate LCM of 240,330,253
| 2 | 240, 330, 253 |
| 3 | 120, 165, 253 |
| 5 | 40, 55, 253 |
| 11 | 8, 11, 253 |
| 8, 1, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 8 x 1 x 23 = 60720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60720
Therefore, the GCF of Fractions 97/240,23/330,905/253 is 1/60720
Least Common Multiple of 240,330,253 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 240,330,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,330,253) = 1
common factors(in case of two or more numbers have common factors) = 330
GCF(240,330,253) x common factors =1 x 330 = 330
LCM(240,330,253) = ( 240 × 330 × 253 ) / 330
LCM(240,330,253) = 20037600 / 330
LCM(240,330,253) = 60720
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FAQs on GCF of Fractions of 97/240, 23/330, 905/253
1. What is the HCF of 97,23,905?
The HCF of 97,23,905 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 97/240, 23/330, 905/253?
Answer: GCF of Numerators as per given numbers 97/240, 23/330, 905/253 is
GCF of Numerators i.e. for 97,23,905 is 1
LCM of denominators i.e. for 240,330,253 is 60720.
Thus, GCF of Fractions is 1/60720.Finally, GCF of Fractions for 97/240, 23/330, 905/253 is 1/60720.