GCF of 5863/828, 6936/1466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5863/828, 6936/1466 i.e 1/606924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5863/828, 6936/1466.
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 5863/828,6936/1466?
Given fractions are 5863/828,6936/1466
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 5863/828,6936/1466, numerators are 5863,6936
Denominators are 828,1466
The GCF of 5863,6936 is 1 .
LCM of 828,1466 is 606924.
The greatest common factor of 5863/828,6936/1466 = [GCF of 5863,6936]/[LCM of 828,1466]= 1/606924
Therefore, the GCF of 5863/828,6936/1466 is 1/606924.
To find the highest common factor of 5863,6936, we have to find the factors of both numbers and list the highest common factor.
The factors of 5863 are 1, 11, 13, 41, 143, 451, 533, 5863
The factors of 6936 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936
The HCF of 5863,6936 is 1.
Lets's calculate GCF of 5863,6936
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5863,6936 By Matching Biggest Common Factor Method
Now, list down the factors of 5863
:1,11,13,41,143,451,533,5863
Now, list down the factors of 6936
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936
Greatest Common Factor
We found the factors 5863,6936 . The biggest common factor number is the GCF number.
So the greatest common factor 5863,6936 is 1.
Lets's calculate LCM of 828,1466
| 2 | 828, 1466 |
| 414, 733 |
∴ So the LCM of the given numbers is 2 x 414 x 733 = 606924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/606924
Therefore, the GCF of Fractions 5863/828,6936/1466 is 1/606924
Least Common Multiple of 828,1466 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 828,1466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,1466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(828,1466) x common factors =2 x 1 = 2
LCM(828,1466) = ( 828 × 1466 ) / 2
LCM(828,1466) = 1213848 / 2
LCM(828,1466) = 606924
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FAQs on GCF of Fractions of 5863/828, 6936/1466
1. What is the HCF of 5863,6936?
The HCF of 5863,6936 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 5863/828, 6936/1466?
Answer: GCF of Numerators as per given numbers 5863/828, 6936/1466 is
GCF of Numerators i.e. for 5863,6936 is 1
LCM of denominators i.e. for 828,1466 is 606924.
Thus, GCF of Fractions is 1/606924.Finally, GCF of Fractions for 5863/828, 6936/1466 is 1/606924.