GCF of 340/94, 273/48, 559/12
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 340/94, 273/48, 559/12 i.e 1/2256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 340/94, 273/48, 559/12.
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 340/94,273/48,559/12?
Given fractions are 340/94,273/48,559/12
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 340/94,273/48,559/12, numerators are 340,273,559
Denominators are 94,48,12
The GCF of 340,273,559 is 1 .
LCM of 94,48,12 is 2256.
The greatest common factor of 340/94,273/48,559/12 = [GCF of 340,273,559]/[LCM of 94,48,12]= 1/2256
Therefore, the GCF of 340/94,273/48,559/12 is 1/2256.
To find the highest common factor of 340,273,559, we have to find the factors of both numbers and list the highest common factor.
The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273
The factors of 559 are 1, 13, 43, 559
The HCF of 340,273,559 is 1.
Lets's calculate GCF of 340,273,559
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 340,273,559 By Matching Biggest Common Factor Method
Now, list down the factors of 340
:1,2,4,5,10,17,20,34,68,85,170,340
Now, list down the factors of 273
:1,3,7,13,21,39,91,273
Now, list down the factors of 559
:1,13,43,559
Greatest Common Factor
We found the factors 340,273,559 . The biggest common factor number is the GCF number.
So the greatest common factor 340,273,559 is 1.
Lets's calculate LCM of 94,48,12
| 2 | 94, 48, 12 |
| 2 | 47, 24, 6 |
| 3 | 47, 12, 3 |
| 47, 4, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 4 x 1 = 2256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2256
Therefore, the GCF of Fractions 340/94,273/48,559/12 is 1/2256
Least Common Multiple of 94,48,12 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 94,48,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,48,12) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(94,48,12) x common factors =2 x 12 = 24
LCM(94,48,12) = ( 94 × 48 × 12 ) / 24
LCM(94,48,12) = 54144 / 24
LCM(94,48,12) = 2256
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FAQs on GCF of Fractions of 340/94, 273/48, 559/12
1. What is the HCF of 340,273,559?
The HCF of 340,273,559 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 340/94, 273/48, 559/12?
Answer: GCF of Numerators as per given numbers 340/94, 273/48, 559/12 is
GCF of Numerators i.e. for 340,273,559 is 1
LCM of denominators i.e. for 94,48,12 is 2256.
Thus, GCF of Fractions is 1/2256.Finally, GCF of Fractions for 340/94, 273/48, 559/12 is 1/2256.