GCF of 5233/862, 6811/6056
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5233/862, 6811/6056 i.e 1/2610136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5233/862, 6811/6056.
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 5233/862,6811/6056?
Given fractions are 5233/862,6811/6056
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 5233/862,6811/6056, numerators are 5233,6811
Denominators are 862,6056
The GCF of 5233,6811 is 1 .
LCM of 862,6056 is 2610136.
The greatest common factor of 5233/862,6811/6056 = [GCF of 5233,6811]/[LCM of 862,6056]= 1/2610136
Therefore, the GCF of 5233/862,6811/6056 is 1/2610136.
To find the highest common factor of 5233,6811, we have to find the factors of both numbers and list the highest common factor.
The factors of 5233 are 1, 5233
The factors of 6811 are 1, 7, 49, 139, 973, 6811
The HCF of 5233,6811 is 1.
Lets's calculate GCF of 5233,6811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5233,6811 By Matching Biggest Common Factor Method
Now, list down the factors of 5233
:1,5233
Now, list down the factors of 6811
:1,7,49,139,973,6811
Greatest Common Factor
We found the factors 5233,6811 . The biggest common factor number is the GCF number.
So the greatest common factor 5233,6811 is 1.
Lets's calculate LCM of 862,6056
| 2 | 862, 6056 |
| 431, 3028 |
∴ So the LCM of the given numbers is 2 x 431 x 3028 = 2610136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2610136
Therefore, the GCF of Fractions 5233/862,6811/6056 is 1/2610136
Least Common Multiple of 862,6056 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 862,6056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,6056) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,6056) x common factors =2 x 1 = 2
LCM(862,6056) = ( 862 × 6056 ) / 2
LCM(862,6056) = 5220272 / 2
LCM(862,6056) = 2610136
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FAQs on GCF of Fractions of 5233/862, 6811/6056
1. What is the HCF of 5233,6811?
The HCF of 5233,6811 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 5233/862, 6811/6056?
Answer: GCF of Numerators as per given numbers 5233/862, 6811/6056 is
GCF of Numerators i.e. for 5233,6811 is 1
LCM of denominators i.e. for 862,6056 is 2610136.
Thus, GCF of Fractions is 1/2610136.Finally, GCF of Fractions for 5233/862, 6811/6056 is 1/2610136.