GCF of 3365/646, 7320/1826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3365/646, 7320/1826 i.e 5/589798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3365/646, 7320/1826.
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 3365/646,7320/1826?
Given fractions are 3365/646,7320/1826
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 3365/646,7320/1826, numerators are 3365,7320
Denominators are 646,1826
The GCF of 3365,7320 is 5 .
LCM of 646,1826 is 589798.
The greatest common factor of 3365/646,7320/1826 = [GCF of 3365,7320]/[LCM of 646,1826]= 5/589798
Therefore, the GCF of 3365/646,7320/1826 is 5/589798.
To find the highest common factor of 3365,7320, we have to find the factors of both numbers and list the highest common factor.
The factors of 3365 are 1, 5, 673, 3365
The factors of 7320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320
The HCF of 3365,7320 is 5.
Lets's calculate GCF of 3365,7320
| 5 | 3365, 7320 |
| 673, 1464 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3365,7320 By Matching Biggest Common Factor Method
Now, list down the factors of 3365
:1,5,673,3365
Now, list down the factors of 7320
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320
Greatest Common Factor
We found the factors 3365,7320 . The biggest common factor number is the GCF number.
So the greatest common factor 3365,7320 is 5.
Lets's calculate LCM of 646,1826
| 2 | 646, 1826 |
| 323, 913 |
∴ So the LCM of the given numbers is 2 x 323 x 913 = 589798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/589798
Therefore, the GCF of Fractions 3365/646,7320/1826 is 5/589798
Least Common Multiple of 646,1826 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 646,1826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,1826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,1826) x common factors =2 x 1 = 2
LCM(646,1826) = ( 646 × 1826 ) / 2
LCM(646,1826) = 1179596 / 2
LCM(646,1826) = 589798
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FAQs on GCF of Fractions of 3365/646, 7320/1826
1. What is the HCF of 3365,7320?
The HCF of 3365,7320 is 5
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 3365/646, 7320/1826?
Answer: GCF of Numerators as per given numbers 3365/646, 7320/1826 is
GCF of Numerators i.e. for 3365,7320 is 5
LCM of denominators i.e. for 646,1826 is 589798.
Thus, GCF of Fractions is 5/589798.Finally, GCF of Fractions for 3365/646, 7320/1826 is 5/589798.