GCF of 2466/731, 3654/4082
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2466/731, 3654/4082 i.e 18/2983942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2466/731, 3654/4082.
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 2466/731,3654/4082?
Given fractions are 2466/731,3654/4082
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 2466/731,3654/4082, numerators are 2466,3654
Denominators are 731,4082
The GCF of 2466,3654 is 18 .
LCM of 731,4082 is 2983942.
The greatest common factor of 2466/731,3654/4082 = [GCF of 2466,3654]/[LCM of 731,4082]= 18/2983942
Therefore, the GCF of 2466/731,3654/4082 is 18/2983942.
To find the highest common factor of 2466,3654, we have to find the factors of both numbers and list the highest common factor.
The factors of 2466 are 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233, 2466
The factors of 3654 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654
The HCF of 2466,3654 is 18.
Lets's calculate GCF of 2466,3654
| 2 | 2466, 3654 |
| 3 | 1233, 1827 |
| 3 | 411, 609 |
| 137, 203 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 2466,3654 By Matching Biggest Common Factor Method
Now, list down the factors of 2466
:1,2,3,6,9,18,137,274,411,822,1233,2466
Now, list down the factors of 3654
:1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654
Greatest Common Factor
We found the factors 2466,3654 . The biggest common factor number is the GCF number.
So the greatest common factor 2466,3654 is 18.
Lets's calculate LCM of 731,4082
Given numbers has no common factors except 1. So, there LCM is their product i.e 2983942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/2983942
Therefore, the GCF of Fractions 2466/731,3654/4082 is 18/2983942
Least Common Multiple of 731,4082 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 731,4082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,4082) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,4082) x common factors =1 x 1 = 1
LCM(731,4082) = ( 731 × 4082 ) / 1
LCM(731,4082) = 2983942 / 1
LCM(731,4082) = 2983942
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FAQs on GCF of Fractions of 2466/731, 3654/4082
1. What is the HCF of 2466,3654?
The HCF of 2466,3654 is 18
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 2466/731, 3654/4082?
Answer: GCF of Numerators as per given numbers 2466/731, 3654/4082 is
GCF of Numerators i.e. for 2466,3654 is 18
LCM of denominators i.e. for 731,4082 is 2983942.
Thus, GCF of Fractions is 18/2983942.Finally, GCF of Fractions for 2466/731, 3654/4082 is 18/2983942.