GCF of 2361/463, 3201/676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2361/463, 3201/676 i.e 3/312988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2361/463, 3201/676.
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 2361/463,3201/676?
Given fractions are 2361/463,3201/676
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 2361/463,3201/676, numerators are 2361,3201
Denominators are 463,676
The GCF of 2361,3201 is 3 .
LCM of 463,676 is 312988.
The greatest common factor of 2361/463,3201/676 = [GCF of 2361,3201]/[LCM of 463,676]= 3/312988
Therefore, the GCF of 2361/463,3201/676 is 3/312988.
To find the highest common factor of 2361,3201, we have to find the factors of both numbers and list the highest common factor.
The factors of 2361 are 1, 3, 787, 2361
The factors of 3201 are 1, 3, 11, 33, 97, 291, 1067, 3201
The HCF of 2361,3201 is 3.
Lets's calculate GCF of 2361,3201
| 3 | 2361, 3201 |
| 787, 1067 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2361,3201 By Matching Biggest Common Factor Method
Now, list down the factors of 2361
:1,3,787,2361
Now, list down the factors of 3201
:1,3,11,33,97,291,1067,3201
Greatest Common Factor
We found the factors 2361,3201 . The biggest common factor number is the GCF number.
So the greatest common factor 2361,3201 is 3.
Lets's calculate LCM of 463,676
Given numbers has no common factors except 1. So, there LCM is their product i.e 312988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/312988
Therefore, the GCF of Fractions 2361/463,3201/676 is 3/312988
Least Common Multiple of 463,676 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 463,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,676) x common factors =1 x 1 = 1
LCM(463,676) = ( 463 × 676 ) / 1
LCM(463,676) = 312988 / 1
LCM(463,676) = 312988
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FAQs on GCF of Fractions of 2361/463, 3201/676
1. What is the HCF of 2361,3201?
The HCF of 2361,3201 is 3
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 2361/463, 3201/676?
Answer: GCF of Numerators as per given numbers 2361/463, 3201/676 is
GCF of Numerators i.e. for 2361,3201 is 3
LCM of denominators i.e. for 463,676 is 312988.
Thus, GCF of Fractions is 3/312988.Finally, GCF of Fractions for 2361/463, 3201/676 is 3/312988.