GCF of 6165/673, 3730/1926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6165/673, 3730/1926 i.e 5/1296198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6165/673, 3730/1926.
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 6165/673,3730/1926?
Given fractions are 6165/673,3730/1926
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 6165/673,3730/1926, numerators are 6165,3730
Denominators are 673,1926
The GCF of 6165,3730 is 5 .
LCM of 673,1926 is 1296198.
The greatest common factor of 6165/673,3730/1926 = [GCF of 6165,3730]/[LCM of 673,1926]= 5/1296198
Therefore, the GCF of 6165/673,3730/1926 is 5/1296198.
To find the highest common factor of 6165,3730, we have to find the factors of both numbers and list the highest common factor.
The factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165
The factors of 3730 are 1, 2, 5, 10, 373, 746, 1865, 3730
The HCF of 6165,3730 is 5.
Lets's calculate GCF of 6165,3730
| 5 | 6165, 3730 |
| 1233, 746 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6165,3730 By Matching Biggest Common Factor Method
Now, list down the factors of 6165
:1,3,5,9,15,45,137,411,685,1233,2055,6165
Now, list down the factors of 3730
:1,2,5,10,373,746,1865,3730
Greatest Common Factor
We found the factors 6165,3730 . The biggest common factor number is the GCF number.
So the greatest common factor 6165,3730 is 5.
Lets's calculate LCM of 673,1926
Given numbers has no common factors except 1. So, there LCM is their product i.e 1296198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1296198
Therefore, the GCF of Fractions 6165/673,3730/1926 is 5/1296198
Least Common Multiple of 673,1926 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 673,1926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,1926) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,1926) x common factors =1 x 1 = 1
LCM(673,1926) = ( 673 × 1926 ) / 1
LCM(673,1926) = 1296198 / 1
LCM(673,1926) = 1296198
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FAQs on GCF of Fractions of 6165/673, 3730/1926
1. What is the HCF of 6165,3730?
The HCF of 6165,3730 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 6165/673, 3730/1926?
Answer: GCF of Numerators as per given numbers 6165/673, 3730/1926 is
GCF of Numerators i.e. for 6165,3730 is 5
LCM of denominators i.e. for 673,1926 is 1296198.
Thus, GCF of Fractions is 5/1296198.Finally, GCF of Fractions for 6165/673, 3730/1926 is 5/1296198.