GCF of 23/12, 93/566, 220/233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 23/12, 93/566, 220/233 i.e 1/791268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/12, 93/566, 220/233.
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 23/12,93/566,220/233?
Given fractions are 23/12,93/566,220/233
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 23/12,93/566,220/233, numerators are 23,93,220
Denominators are 12,566,233
The GCF of 23,93,220 is 1 .
LCM of 12,566,233 is 791268.
The greatest common factor of 23/12,93/566,220/233 = [GCF of 23,93,220]/[LCM of 12,566,233]= 1/791268
Therefore, the GCF of 23/12,93/566,220/233 is 1/791268.
To find the highest common factor of 23,93,220, we have to find the factors of both numbers and list the highest common factor.
The factors of 23 are 1, 23
The factors of 93 are 1, 3, 31, 93
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The HCF of 23,93,220 is 1.
Lets's calculate GCF of 23,93,220
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 23,93,220 By Matching Biggest Common Factor Method
Now, list down the factors of 23
:1,23
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 23,93,220 . The biggest common factor number is the GCF number.
So the greatest common factor 23,93,220 is 1.
Lets's calculate LCM of 12,566,233
| 2 | 12, 566, 233 |
| 6, 283, 233 |
∴ So the LCM of the given numbers is 2 x 6 x 283 x 233 = 791268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791268
Therefore, the GCF of Fractions 23/12,93/566,220/233 is 1/791268
Least Common Multiple of 12,566,233 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 12,566,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,566,233) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(12,566,233) x common factors =1 x 2 = 2
LCM(12,566,233) = ( 12 × 566 × 233 ) / 2
LCM(12,566,233) = 1582536 / 2
LCM(12,566,233) = 791268
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FAQs on GCF of Fractions of 23/12, 93/566, 220/233
1. What is the HCF of 23,93,220?
The HCF of 23,93,220 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 23/12, 93/566, 220/233?
Answer: GCF of Numerators as per given numbers 23/12, 93/566, 220/233 is
GCF of Numerators i.e. for 23,93,220 is 1
LCM of denominators i.e. for 12,566,233 is 791268.
Thus, GCF of Fractions is 1/791268.Finally, GCF of Fractions for 23/12, 93/566, 220/233 is 1/791268.