GCF of 1211/504, 2006/249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1211/504, 2006/249 i.e 1/41832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1211/504, 2006/249.
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 1211/504,2006/249?
Given fractions are 1211/504,2006/249
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 1211/504,2006/249, numerators are 1211,2006
Denominators are 504,249
The GCF of 1211,2006 is 1 .
LCM of 504,249 is 41832.
The greatest common factor of 1211/504,2006/249 = [GCF of 1211,2006]/[LCM of 504,249]= 1/41832
Therefore, the GCF of 1211/504,2006/249 is 1/41832.
To find the highest common factor of 1211,2006, we have to find the factors of both numbers and list the highest common factor.
The factors of 1211 are 1, 7, 173, 1211
The factors of 2006 are 1, 2, 17, 34, 59, 118, 1003, 2006
The HCF of 1211,2006 is 1.
Lets's calculate GCF of 1211,2006
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1211,2006 By Matching Biggest Common Factor Method
Now, list down the factors of 1211
:1,7,173,1211
Now, list down the factors of 2006
:1,2,17,34,59,118,1003,2006
Greatest Common Factor
We found the factors 1211,2006 . The biggest common factor number is the GCF number.
So the greatest common factor 1211,2006 is 1.
Lets's calculate LCM of 504,249
| 3 | 504, 249 |
| 168, 83 |
∴ So the LCM of the given numbers is 3 x 168 x 83 = 41832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41832
Therefore, the GCF of Fractions 1211/504,2006/249 is 1/41832
Least Common Multiple of 504,249 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 504,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,249) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(504,249) x common factors =3 x 1 = 3
LCM(504,249) = ( 504 × 249 ) / 3
LCM(504,249) = 125496 / 3
LCM(504,249) = 41832
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FAQs on GCF of Fractions of 1211/504, 2006/249
1. What is the HCF of 1211,2006?
The HCF of 1211,2006 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 1211/504, 2006/249?
Answer: GCF of Numerators as per given numbers 1211/504, 2006/249 is
GCF of Numerators i.e. for 1211,2006 is 1
LCM of denominators i.e. for 504,249 is 41832.
Thus, GCF of Fractions is 1/41832.Finally, GCF of Fractions for 1211/504, 2006/249 is 1/41832.