GCF of 11/404, 356/121, 903/270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 11/404, 356/121, 903/270 i.e 1/6599340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/404, 356/121, 903/270.
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 11/404,356/121,903/270?
Given fractions are 11/404,356/121,903/270
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 11/404,356/121,903/270, numerators are 11,356,903
Denominators are 404,121,270
The GCF of 11,356,903 is 1 .
LCM of 404,121,270 is 6599340.
The greatest common factor of 11/404,356/121,903/270 = [GCF of 11,356,903]/[LCM of 404,121,270]= 1/6599340
Therefore, the GCF of 11/404,356/121,903/270 is 1/6599340.
To find the highest common factor of 11,356,903, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 356 are 1, 2, 4, 89, 178, 356
The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903
The HCF of 11,356,903 is 1.
Lets's calculate GCF of 11,356,903
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 11,356,903 By Matching Biggest Common Factor Method
Now, list down the factors of 11
:1,11
Now, list down the factors of 356
:1,2,4,89,178,356
Now, list down the factors of 903
:1,3,7,21,43,129,301,903
Greatest Common Factor
We found the factors 11,356,903 . The biggest common factor number is the GCF number.
So the greatest common factor 11,356,903 is 1.
Lets's calculate LCM of 404,121,270
| 2 | 404, 121, 270 |
| 202, 121, 135 |
∴ So the LCM of the given numbers is 2 x 202 x 121 x 135 = 6599340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6599340
Therefore, the GCF of Fractions 11/404,356/121,903/270 is 1/6599340
Least Common Multiple of 404,121,270 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 404,121,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,121,270) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(404,121,270) x common factors =1 x 2 = 2
LCM(404,121,270) = ( 404 × 121 × 270 ) / 2
LCM(404,121,270) = 13198680 / 2
LCM(404,121,270) = 6599340
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FAQs on GCF of Fractions of 11/404, 356/121, 903/270
1. What is the HCF of 11,356,903?
The HCF of 11,356,903 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 11/404, 356/121, 903/270?
Answer: GCF of Numerators as per given numbers 11/404, 356/121, 903/270 is
GCF of Numerators i.e. for 11,356,903 is 1
LCM of denominators i.e. for 404,121,270 is 6599340.
Thus, GCF of Fractions is 1/6599340.Finally, GCF of Fractions for 11/404, 356/121, 903/270 is 1/6599340.