GCF of 1441/306, 2096/270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1441/306, 2096/270 i.e 131/4590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1441/306, 2096/270.
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 1441/306,2096/270?
Given fractions are 1441/306,2096/270
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 1441/306,2096/270, numerators are 1441,2096
Denominators are 306,270
The GCF of 1441,2096 is 131 .
LCM of 306,270 is 4590.
The greatest common factor of 1441/306,2096/270 = [GCF of 1441,2096]/[LCM of 306,270]= 131/4590
Therefore, the GCF of 1441/306,2096/270 is 131/4590.
To find the highest common factor of 1441,2096, we have to find the factors of both numbers and list the highest common factor.
The factors of 1441 are 1, 11, 131, 1441
The factors of 2096 are 1, 2, 4, 8, 16, 131, 262, 524, 1048, 2096
The HCF of 1441,2096 is 131.
Lets's calculate GCF of 1441,2096
| 131 | 1441, 2096 |
| 11, 16 |
∴ So the GCF of the given numbers is 131 = 131
Greatest Common Factor of 1441,2096 By Matching Biggest Common Factor Method
Now, list down the factors of 1441
:1,11,131,1441
Now, list down the factors of 2096
:1,2,4,8,16,131,262,524,1048,2096
Greatest Common Factor
We found the factors 1441,2096 . The biggest common factor number is the GCF number.
So the greatest common factor 1441,2096 is 131.
Lets's calculate LCM of 306,270
| 2 | 306, 270 |
| 3 | 153, 135 |
| 3 | 51, 45 |
| 17, 15 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 15 = 4590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 131/4590
Therefore, the GCF of Fractions 1441/306,2096/270 is 131/4590
Least Common Multiple of 306,270 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 306,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,270) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(306,270) x common factors =18 x 1 = 18
LCM(306,270) = ( 306 × 270 ) / 18
LCM(306,270) = 82620 / 18
LCM(306,270) = 4590
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FAQs on GCF of Fractions of 1441/306, 2096/270
1. What is the HCF of 1441,2096?
The HCF of 1441,2096 is 131
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 1441/306, 2096/270?
Answer: GCF of Numerators as per given numbers 1441/306, 2096/270 is
GCF of Numerators i.e. for 1441,2096 is 131
LCM of denominators i.e. for 306,270 is 4590.
Thus, GCF of Fractions is 131/4590.Finally, GCF of Fractions for 1441/306, 2096/270 is 131/4590.