GCF of 6783/264, 3485/4586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6783/264, 3485/4586 i.e 17/605352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6783/264, 3485/4586.
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 6783/264,3485/4586?
Given fractions are 6783/264,3485/4586
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 6783/264,3485/4586, numerators are 6783,3485
Denominators are 264,4586
The GCF of 6783,3485 is 17 .
LCM of 264,4586 is 605352.
The greatest common factor of 6783/264,3485/4586 = [GCF of 6783,3485]/[LCM of 264,4586]= 17/605352
Therefore, the GCF of 6783/264,3485/4586 is 17/605352.
To find the highest common factor of 6783,3485, 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 3485 are 1, 5, 17, 41, 85, 205, 697, 3485
The HCF of 6783,3485 is 17.
Lets's calculate GCF of 6783,3485
| 17 | 6783, 3485 |
| 399, 205 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 6783,3485 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 3485
:1,5,17,41,85,205,697,3485
Greatest Common Factor
We found the factors 6783,3485 . The biggest common factor number is the GCF number.
So the greatest common factor 6783,3485 is 17.
Lets's calculate LCM of 264,4586
| 2 | 264, 4586 |
| 132, 2293 |
∴ So the LCM of the given numbers is 2 x 132 x 2293 = 605352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/605352
Therefore, the GCF of Fractions 6783/264,3485/4586 is 17/605352
Least Common Multiple of 264,4586 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 264,4586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,4586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(264,4586) x common factors =2 x 1 = 2
LCM(264,4586) = ( 264 × 4586 ) / 2
LCM(264,4586) = 1210704 / 2
LCM(264,4586) = 605352
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FAQs on GCF of Fractions of 6783/264, 3485/4586
1. What is the HCF of 6783,3485?
The HCF of 6783,3485 is 17
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 6783/264, 3485/4586?
Answer: GCF of Numerators as per given numbers 6783/264, 3485/4586 is
GCF of Numerators i.e. for 6783,3485 is 17
LCM of denominators i.e. for 264,4586 is 605352.
Thus, GCF of Fractions is 17/605352.Finally, GCF of Fractions for 6783/264, 3485/4586 is 17/605352.