GCF of 7833/241, 4896/9876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7833/241, 4896/9876 i.e 3/2380116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7833/241, 4896/9876.
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 7833/241,4896/9876?
Given fractions are 7833/241,4896/9876
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 7833/241,4896/9876, numerators are 7833,4896
Denominators are 241,9876
The GCF of 7833,4896 is 3 .
LCM of 241,9876 is 2380116.
The greatest common factor of 7833/241,4896/9876 = [GCF of 7833,4896]/[LCM of 241,9876]= 3/2380116
Therefore, the GCF of 7833/241,4896/9876 is 3/2380116.
To find the highest common factor of 7833,4896, we have to find the factors of both numbers and list the highest common factor.
The factors of 7833 are 1, 3, 7, 21, 373, 1119, 2611, 7833
The factors of 4896 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448, 4896
The HCF of 7833,4896 is 3.
Lets's calculate GCF of 7833,4896
| 3 | 7833, 4896 |
| 2611, 1632 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7833,4896 By Matching Biggest Common Factor Method
Now, list down the factors of 7833
:1,3,7,21,373,1119,2611,7833
Now, list down the factors of 4896
:1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,68,72,96,102,136,144,153,204,272,288,306,408,544,612,816,1224,1632,2448,4896
Greatest Common Factor
We found the factors 7833,4896 . The biggest common factor number is the GCF number.
So the greatest common factor 7833,4896 is 3.
Lets's calculate LCM of 241,9876
Given numbers has no common factors except 1. So, there LCM is their product i.e 2380116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2380116
Therefore, the GCF of Fractions 7833/241,4896/9876 is 3/2380116
Least Common Multiple of 241,9876 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 241,9876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,9876) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,9876) x common factors =1 x 1 = 1
LCM(241,9876) = ( 241 × 9876 ) / 1
LCM(241,9876) = 2380116 / 1
LCM(241,9876) = 2380116
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FAQs on GCF of Fractions of 7833/241, 4896/9876
1. What is the HCF of 7833,4896?
The HCF of 7833,4896 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 7833/241, 4896/9876?
Answer: GCF of Numerators as per given numbers 7833/241, 4896/9876 is
GCF of Numerators i.e. for 7833,4896 is 3
LCM of denominators i.e. for 241,9876 is 2380116.
Thus, GCF of Fractions is 3/2380116.Finally, GCF of Fractions for 7833/241, 4896/9876 is 3/2380116.