GCF of 3040/586, 1733/6718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3040/586, 1733/6718 i.e 1/1968374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3040/586, 1733/6718.
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 3040/586,1733/6718?
Given fractions are 3040/586,1733/6718
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 3040/586,1733/6718, numerators are 3040,1733
Denominators are 586,6718
The GCF of 3040,1733 is 1 .
LCM of 586,6718 is 1968374.
The greatest common factor of 3040/586,1733/6718 = [GCF of 3040,1733]/[LCM of 586,6718]= 1/1968374
Therefore, the GCF of 3040/586,1733/6718 is 1/1968374.
To find the highest common factor of 3040,1733, we have to find the factors of both numbers and list the highest common factor.
The factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040
The factors of 1733 are 1, 1733
The HCF of 3040,1733 is 1.
Lets's calculate GCF of 3040,1733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3040,1733 By Matching Biggest Common Factor Method
Now, list down the factors of 3040
:1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040
Now, list down the factors of 1733
:1,1733
Greatest Common Factor
We found the factors 3040,1733 . The biggest common factor number is the GCF number.
So the greatest common factor 3040,1733 is 1.
Lets's calculate LCM of 586,6718
| 2 | 586, 6718 |
| 293, 3359 |
∴ So the LCM of the given numbers is 2 x 293 x 3359 = 1968374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1968374
Therefore, the GCF of Fractions 3040/586,1733/6718 is 1/1968374
Least Common Multiple of 586,6718 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 586,6718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,6718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,6718) x common factors =2 x 1 = 2
LCM(586,6718) = ( 586 × 6718 ) / 2
LCM(586,6718) = 3936748 / 2
LCM(586,6718) = 1968374
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FAQs on GCF of Fractions of 3040/586, 1733/6718
1. What is the HCF of 3040,1733?
The HCF of 3040,1733 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 3040/586, 1733/6718?
Answer: GCF of Numerators as per given numbers 3040/586, 1733/6718 is
GCF of Numerators i.e. for 3040,1733 is 1
LCM of denominators i.e. for 586,6718 is 1968374.
Thus, GCF of Fractions is 1/1968374.Finally, GCF of Fractions for 3040/586, 1733/6718 is 1/1968374.