GCF of 3241/246, 2324/1531
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3241/246, 2324/1531 i.e 7/376626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3241/246, 2324/1531.
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 3241/246,2324/1531?
Given fractions are 3241/246,2324/1531
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 3241/246,2324/1531, numerators are 3241,2324
Denominators are 246,1531
The GCF of 3241,2324 is 7 .
LCM of 246,1531 is 376626.
The greatest common factor of 3241/246,2324/1531 = [GCF of 3241,2324]/[LCM of 246,1531]= 7/376626
Therefore, the GCF of 3241/246,2324/1531 is 7/376626.
To find the highest common factor of 3241,2324, we have to find the factors of both numbers and list the highest common factor.
The factors of 3241 are 1, 7, 463, 3241
The factors of 2324 are 1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324
The HCF of 3241,2324 is 7.
Lets's calculate GCF of 3241,2324
| 7 | 3241, 2324 |
| 463, 332 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3241,2324 By Matching Biggest Common Factor Method
Now, list down the factors of 3241
:1,7,463,3241
Now, list down the factors of 2324
:1,2,4,7,14,28,83,166,332,581,1162,2324
Greatest Common Factor
We found the factors 3241,2324 . The biggest common factor number is the GCF number.
So the greatest common factor 3241,2324 is 7.
Lets's calculate LCM of 246,1531
Given numbers has no common factors except 1. So, there LCM is their product i.e 376626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/376626
Therefore, the GCF of Fractions 3241/246,2324/1531 is 7/376626
Least Common Multiple of 246,1531 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 246,1531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,1531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(246,1531) x common factors =1 x 1 = 1
LCM(246,1531) = ( 246 × 1531 ) / 1
LCM(246,1531) = 376626 / 1
LCM(246,1531) = 376626
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FAQs on GCF of Fractions of 3241/246, 2324/1531
1. What is the HCF of 3241,2324?
The HCF of 3241,2324 is 7
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 3241/246, 2324/1531?
Answer: GCF of Numerators as per given numbers 3241/246, 2324/1531 is
GCF of Numerators i.e. for 3241,2324 is 7
LCM of denominators i.e. for 246,1531 is 376626.
Thus, GCF of Fractions is 7/376626.Finally, GCF of Fractions for 3241/246, 2324/1531 is 7/376626.