GCF of 6819/586, 3785/9248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6819/586, 3785/9248 i.e 1/2709664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6819/586, 3785/9248.
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 6819/586,3785/9248?
Given fractions are 6819/586,3785/9248
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 6819/586,3785/9248, numerators are 6819,3785
Denominators are 586,9248
The GCF of 6819,3785 is 1 .
LCM of 586,9248 is 2709664.
The greatest common factor of 6819/586,3785/9248 = [GCF of 6819,3785]/[LCM of 586,9248]= 1/2709664
Therefore, the GCF of 6819/586,3785/9248 is 1/2709664.
To find the highest common factor of 6819,3785, we have to find the factors of both numbers and list the highest common factor.
The factors of 6819 are 1, 3, 2273, 6819
The factors of 3785 are 1, 5, 757, 3785
The HCF of 6819,3785 is 1.
Lets's calculate GCF of 6819,3785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6819,3785 By Matching Biggest Common Factor Method
Now, list down the factors of 6819
:1,3,2273,6819
Now, list down the factors of 3785
:1,5,757,3785
Greatest Common Factor
We found the factors 6819,3785 . The biggest common factor number is the GCF number.
So the greatest common factor 6819,3785 is 1.
Lets's calculate LCM of 586,9248
| 2 | 586, 9248 |
| 293, 4624 |
∴ So the LCM of the given numbers is 2 x 293 x 4624 = 2709664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2709664
Therefore, the GCF of Fractions 6819/586,3785/9248 is 1/2709664
Least Common Multiple of 586,9248 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 586,9248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,9248) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,9248) x common factors =2 x 1 = 2
LCM(586,9248) = ( 586 × 9248 ) / 2
LCM(586,9248) = 5419328 / 2
LCM(586,9248) = 2709664
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FAQs on GCF of Fractions of 6819/586, 3785/9248
1. What is the HCF of 6819,3785?
The HCF of 6819,3785 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 6819/586, 3785/9248?
Answer: GCF of Numerators as per given numbers 6819/586, 3785/9248 is
GCF of Numerators i.e. for 6819,3785 is 1
LCM of denominators i.e. for 586,9248 is 2709664.
Thus, GCF of Fractions is 1/2709664.Finally, GCF of Fractions for 6819/586, 3785/9248 is 1/2709664.