GCF of 6806/564, 5084/2152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6806/564, 5084/2152 i.e 82/303432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6806/564, 5084/2152.
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 6806/564,5084/2152?
Given fractions are 6806/564,5084/2152
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 6806/564,5084/2152, numerators are 6806,5084
Denominators are 564,2152
The GCF of 6806,5084 is 82 .
LCM of 564,2152 is 303432.
The greatest common factor of 6806/564,5084/2152 = [GCF of 6806,5084]/[LCM of 564,2152]= 82/303432
Therefore, the GCF of 6806/564,5084/2152 is 82/303432.
To find the highest common factor of 6806,5084, we have to find the factors of both numbers and list the highest common factor.
The factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806
The factors of 5084 are 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084
The HCF of 6806,5084 is 82.
Lets's calculate GCF of 6806,5084
| 2 | 6806, 5084 |
| 41 | 3403, 2542 |
| 83, 62 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Greatest Common Factor of 6806,5084 By Matching Biggest Common Factor Method
Now, list down the factors of 6806
:1,2,41,82,83,166,3403,6806
Now, list down the factors of 5084
:1,2,4,31,41,62,82,124,164,1271,2542,5084
Greatest Common Factor
We found the factors 6806,5084 . The biggest common factor number is the GCF number.
So the greatest common factor 6806,5084 is 82.
Lets's calculate LCM of 564,2152
| 2 | 564, 2152 |
| 2 | 282, 1076 |
| 141, 538 |
∴ So the LCM of the given numbers is 2 x 2 x 141 x 538 = 303432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/303432
Therefore, the GCF of Fractions 6806/564,5084/2152 is 82/303432
Least Common Multiple of 564,2152 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 564,2152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,2152) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(564,2152) x common factors =4 x 1 = 4
LCM(564,2152) = ( 564 × 2152 ) / 4
LCM(564,2152) = 1213728 / 4
LCM(564,2152) = 303432
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FAQs on GCF of Fractions of 6806/564, 5084/2152
1. What is the HCF of 6806,5084?
The HCF of 6806,5084 is 82
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 6806/564, 5084/2152?
Answer: GCF of Numerators as per given numbers 6806/564, 5084/2152 is
GCF of Numerators i.e. for 6806,5084 is 82
LCM of denominators i.e. for 564,2152 is 303432.
Thus, GCF of Fractions is 82/303432.Finally, GCF of Fractions for 6806/564, 5084/2152 is 82/303432.