GCF of 7999/311, 5856/5743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7999/311, 5856/5743 i.e 1/1786073 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7999/311, 5856/5743.
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 7999/311,5856/5743?
Given fractions are 7999/311,5856/5743
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 7999/311,5856/5743, numerators are 7999,5856
Denominators are 311,5743
The GCF of 7999,5856 is 1 .
LCM of 311,5743 is 1786073.
The greatest common factor of 7999/311,5856/5743 = [GCF of 7999,5856]/[LCM of 311,5743]= 1/1786073
Therefore, the GCF of 7999/311,5856/5743 is 1/1786073.
To find the highest common factor of 7999,5856, we have to find the factors of both numbers and list the highest common factor.
The factors of 7999 are 1, 19, 421, 7999
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 HCF of 7999,5856 is 1.
Lets's calculate GCF of 7999,5856
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7999,5856 By Matching Biggest Common Factor Method
Now, list down the factors of 7999
:1,19,421,7999
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
Greatest Common Factor
We found the factors 7999,5856 . The biggest common factor number is the GCF number.
So the greatest common factor 7999,5856 is 1.
Lets's calculate LCM of 311,5743
Given numbers has no common factors except 1. So, there LCM is their product i.e 1786073
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1786073
Therefore, the GCF of Fractions 7999/311,5856/5743 is 1/1786073
Least Common Multiple of 311,5743 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 311,5743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,5743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,5743) x common factors =1 x 1 = 1
LCM(311,5743) = ( 311 × 5743 ) / 1
LCM(311,5743) = 1786073 / 1
LCM(311,5743) = 1786073
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FAQs on GCF of Fractions of 7999/311, 5856/5743
1. What is the HCF of 7999,5856?
The HCF of 7999,5856 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 7999/311, 5856/5743?
Answer: GCF of Numerators as per given numbers 7999/311, 5856/5743 is
GCF of Numerators i.e. for 7999,5856 is 1
LCM of denominators i.e. for 311,5743 is 1786073.
Thus, GCF of Fractions is 1/1786073.Finally, GCF of Fractions for 7999/311, 5856/5743 is 1/1786073.