GCF of 1881/823, 5304/8489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1881/823, 5304/8489 i.e 3/6986447 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1881/823, 5304/8489.
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 1881/823,5304/8489?
Given fractions are 1881/823,5304/8489
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 1881/823,5304/8489, numerators are 1881,5304
Denominators are 823,8489
The GCF of 1881,5304 is 3 .
LCM of 823,8489 is 6986447.
The greatest common factor of 1881/823,5304/8489 = [GCF of 1881,5304]/[LCM of 823,8489]= 3/6986447
Therefore, the GCF of 1881/823,5304/8489 is 3/6986447.
To find the highest common factor of 1881,5304, we have to find the factors of both numbers and list the highest common factor.
The factors of 1881 are 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627, 1881
The factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304
The HCF of 1881,5304 is 3.
Lets's calculate GCF of 1881,5304
| 3 | 1881, 5304 |
| 627, 1768 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1881,5304 By Matching Biggest Common Factor Method
Now, list down the factors of 1881
:1,3,9,11,19,33,57,99,171,209,627,1881
Now, list down the factors of 5304
:1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304
Greatest Common Factor
We found the factors 1881,5304 . The biggest common factor number is the GCF number.
So the greatest common factor 1881,5304 is 3.
Lets's calculate LCM of 823,8489
Given numbers has no common factors except 1. So, there LCM is their product i.e 6986447
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6986447
Therefore, the GCF of Fractions 1881/823,5304/8489 is 3/6986447
Least Common Multiple of 823,8489 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 823,8489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,8489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,8489) x common factors =1 x 1 = 1
LCM(823,8489) = ( 823 × 8489 ) / 1
LCM(823,8489) = 6986447 / 1
LCM(823,8489) = 6986447
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FAQs on GCF of Fractions of 1881/823, 5304/8489
1. What is the HCF of 1881,5304?
The HCF of 1881,5304 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 1881/823, 5304/8489?
Answer: GCF of Numerators as per given numbers 1881/823, 5304/8489 is
GCF of Numerators i.e. for 1881,5304 is 3
LCM of denominators i.e. for 823,8489 is 6986447.
Thus, GCF of Fractions is 3/6986447.Finally, GCF of Fractions for 1881/823, 5304/8489 is 3/6986447.