GCF of 246/366, 361/728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 246/366, 361/728 i.e 1/133224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/366, 361/728.
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 246/366,361/728?
Given fractions are 246/366,361/728
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 246/366,361/728, numerators are 246,361
Denominators are 366,728
The GCF of 246,361 is 1 .
LCM of 366,728 is 133224.
The greatest common factor of 246/366,361/728 = [GCF of 246,361]/[LCM of 366,728]= 1/133224
Therefore, the GCF of 246/366,361/728 is 1/133224.
To find the highest common factor of 246,361, we have to find the factors of both numbers and list the highest common factor.
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The factors of 361 are 1, 19, 361
The HCF of 246,361 is 1.
Lets's calculate GCF of 246,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 246,361 By Matching Biggest Common Factor Method
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 361
:1,19,361
Greatest Common Factor
We found the factors 246,361 . The biggest common factor number is the GCF number.
So the greatest common factor 246,361 is 1.
Lets's calculate LCM of 366,728
| 2 | 366, 728 |
| 183, 364 |
∴ So the LCM of the given numbers is 2 x 183 x 364 = 133224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133224
Therefore, the GCF of Fractions 246/366,361/728 is 1/133224
Least Common Multiple of 366,728 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 366,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(366,728) x common factors =2 x 1 = 2
LCM(366,728) = ( 366 × 728 ) / 2
LCM(366,728) = 266448 / 2
LCM(366,728) = 133224
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FAQs on GCF of Fractions of 246/366, 361/728
1. What is the HCF of 246,361?
The HCF of 246,361 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 246/366, 361/728?
Answer: GCF of Numerators as per given numbers 246/366, 361/728 is
GCF of Numerators i.e. for 246,361 is 1
LCM of denominators i.e. for 366,728 is 133224.
Thus, GCF of Fractions is 1/133224.Finally, GCF of Fractions for 246/366, 361/728 is 1/133224.