GCF of 5856/863, 1159/4582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5856/863, 1159/4582 i.e 61/3954266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5856/863, 1159/4582.
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 5856/863,1159/4582?
Given fractions are 5856/863,1159/4582
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 5856/863,1159/4582, numerators are 5856,1159
Denominators are 863,4582
The GCF of 5856,1159 is 61 .
LCM of 863,4582 is 3954266.
The greatest common factor of 5856/863,1159/4582 = [GCF of 5856,1159]/[LCM of 863,4582]= 61/3954266
Therefore, the GCF of 5856/863,1159/4582 is 61/3954266.
To find the highest common factor of 5856,1159, we have to find the factors of both numbers and list the highest common factor.
The factors of 5856 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856
The factors of 1159 are 1, 19, 61, 1159
The HCF of 5856,1159 is 61.
Lets's calculate GCF of 5856,1159
| 61 | 5856, 1159 |
| 96, 19 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 5856,1159 By Matching Biggest Common Factor Method
Now, list down the factors of 5856
:1,2,3,4,6,8,12,16,24,32,48,61,96,122,183,244,366,488,732,976,1464,1952,2928,5856
Now, list down the factors of 1159
:1,19,61,1159
Greatest Common Factor
We found the factors 5856,1159 . The biggest common factor number is the GCF number.
So the greatest common factor 5856,1159 is 61.
Lets's calculate LCM of 863,4582
Given numbers has no common factors except 1. So, there LCM is their product i.e 3954266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/3954266
Therefore, the GCF of Fractions 5856/863,1159/4582 is 61/3954266
Least Common Multiple of 863,4582 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 863,4582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,4582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,4582) x common factors =1 x 1 = 1
LCM(863,4582) = ( 863 × 4582 ) / 1
LCM(863,4582) = 3954266 / 1
LCM(863,4582) = 3954266
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FAQs on GCF of Fractions of 5856/863, 1159/4582
1. What is the HCF of 5856,1159?
The HCF of 5856,1159 is 61
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 5856/863, 1159/4582?
Answer: GCF of Numerators as per given numbers 5856/863, 1159/4582 is
GCF of Numerators i.e. for 5856,1159 is 61
LCM of denominators i.e. for 863,4582 is 3954266.
Thus, GCF of Fractions is 61/3954266.Finally, GCF of Fractions for 5856/863, 1159/4582 is 61/3954266.