GCF of 903/190, 113/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 903/190, 113/209 i.e 1/2090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 903/190, 113/209.
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 903/190,113/209?
Given fractions are 903/190,113/209
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 903/190,113/209, numerators are 903,113
Denominators are 190,209
The GCF of 903,113 is 1 .
LCM of 190,209 is 2090.
The greatest common factor of 903/190,113/209 = [GCF of 903,113]/[LCM of 190,209]= 1/2090
Therefore, the GCF of 903/190,113/209 is 1/2090.
To find the highest common factor of 903,113, we have to find the factors of both numbers and list the highest common factor.
The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903
The factors of 113 are 1, 113
The HCF of 903,113 is 1.
Lets's calculate GCF of 903,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 903,113 By Matching Biggest Common Factor Method
Now, list down the factors of 903
:1,3,7,21,43,129,301,903
Now, list down the factors of 113
:1,113
Greatest Common Factor
We found the factors 903,113 . The biggest common factor number is the GCF number.
So the greatest common factor 903,113 is 1.
Lets's calculate LCM of 190,209
| 19 | 190, 209 |
| 10, 11 |
∴ So the LCM of the given numbers is 19 x 10 x 11 = 2090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2090
Therefore, the GCF of Fractions 903/190,113/209 is 1/2090
Least Common Multiple of 190,209 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 190,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,209) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(190,209) x common factors =19 x 1 = 19
LCM(190,209) = ( 190 × 209 ) / 19
LCM(190,209) = 39710 / 19
LCM(190,209) = 2090
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FAQs on GCF of Fractions of 903/190, 113/209
1. What is the HCF of 903,113?
The HCF of 903,113 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 903/190, 113/209?
Answer: GCF of Numerators as per given numbers 903/190, 113/209 is
GCF of Numerators i.e. for 903,113 is 1
LCM of denominators i.e. for 190,209 is 2090.
Thus, GCF of Fractions is 1/2090.Finally, GCF of Fractions for 903/190, 113/209 is 1/2090.