GCF of 2805/940, 1239/8449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2805/940, 1239/8449 i.e 3/7942060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2805/940, 1239/8449.
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 2805/940,1239/8449?
Given fractions are 2805/940,1239/8449
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 2805/940,1239/8449, numerators are 2805,1239
Denominators are 940,8449
The GCF of 2805,1239 is 3 .
LCM of 940,8449 is 7942060.
The greatest common factor of 2805/940,1239/8449 = [GCF of 2805,1239]/[LCM of 940,8449]= 3/7942060
Therefore, the GCF of 2805/940,1239/8449 is 3/7942060.
To find the highest common factor of 2805,1239, we have to find the factors of both numbers and list the highest common factor.
The factors of 2805 are 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805
The factors of 1239 are 1, 3, 7, 21, 59, 177, 413, 1239
The HCF of 2805,1239 is 3.
Lets's calculate GCF of 2805,1239
| 3 | 2805, 1239 |
| 935, 413 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2805,1239 By Matching Biggest Common Factor Method
Now, list down the factors of 2805
:1,3,5,11,15,17,33,51,55,85,165,187,255,561,935,2805
Now, list down the factors of 1239
:1,3,7,21,59,177,413,1239
Greatest Common Factor
We found the factors 2805,1239 . The biggest common factor number is the GCF number.
So the greatest common factor 2805,1239 is 3.
Lets's calculate LCM of 940,8449
Given numbers has no common factors except 1. So, there LCM is their product i.e 7942060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7942060
Therefore, the GCF of Fractions 2805/940,1239/8449 is 3/7942060
Least Common Multiple of 940,8449 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 940,8449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,8449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(940,8449) x common factors =1 x 1 = 1
LCM(940,8449) = ( 940 × 8449 ) / 1
LCM(940,8449) = 7942060 / 1
LCM(940,8449) = 7942060
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FAQs on GCF of Fractions of 2805/940, 1239/8449
1. What is the HCF of 2805,1239?
The HCF of 2805,1239 is 3
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 2805/940, 1239/8449?
Answer: GCF of Numerators as per given numbers 2805/940, 1239/8449 is
GCF of Numerators i.e. for 2805,1239 is 3
LCM of denominators i.e. for 940,8449 is 7942060.
Thus, GCF of Fractions is 3/7942060.Finally, GCF of Fractions for 2805/940, 1239/8449 is 3/7942060.