GCF of 6783/718, 2863/2584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6783/718, 2863/2584 i.e 7/927656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6783/718, 2863/2584.
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 6783/718,2863/2584?
Given fractions are 6783/718,2863/2584
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 6783/718,2863/2584, numerators are 6783,2863
Denominators are 718,2584
The GCF of 6783,2863 is 7 .
LCM of 718,2584 is 927656.
The greatest common factor of 6783/718,2863/2584 = [GCF of 6783,2863]/[LCM of 718,2584]= 7/927656
Therefore, the GCF of 6783/718,2863/2584 is 7/927656.
To find the highest common factor of 6783,2863, we have to find the factors of both numbers and list the highest common factor.
The factors of 6783 are 1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783
The factors of 2863 are 1, 7, 409, 2863
The HCF of 6783,2863 is 7.
Lets's calculate GCF of 6783,2863
| 7 | 6783, 2863 |
| 969, 409 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6783,2863 By Matching Biggest Common Factor Method
Now, list down the factors of 6783
:1,3,7,17,19,21,51,57,119,133,323,357,399,969,2261,6783
Now, list down the factors of 2863
:1,7,409,2863
Greatest Common Factor
We found the factors 6783,2863 . The biggest common factor number is the GCF number.
So the greatest common factor 6783,2863 is 7.
Lets's calculate LCM of 718,2584
| 2 | 718, 2584 |
| 359, 1292 |
∴ So the LCM of the given numbers is 2 x 359 x 1292 = 927656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/927656
Therefore, the GCF of Fractions 6783/718,2863/2584 is 7/927656
Least Common Multiple of 718,2584 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 718,2584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,2584) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,2584) x common factors =2 x 1 = 2
LCM(718,2584) = ( 718 × 2584 ) / 2
LCM(718,2584) = 1855312 / 2
LCM(718,2584) = 927656
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FAQs on GCF of Fractions of 6783/718, 2863/2584
1. What is the HCF of 6783,2863?
The HCF of 6783,2863 is 7
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 6783/718, 2863/2584?
Answer: GCF of Numerators as per given numbers 6783/718, 2863/2584 is
GCF of Numerators i.e. for 6783,2863 is 7
LCM of denominators i.e. for 718,2584 is 927656.
Thus, GCF of Fractions is 7/927656.Finally, GCF of Fractions for 6783/718, 2863/2584 is 7/927656.