GCF of 2541/815, 3177/8362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2541/815, 3177/8362 i.e 3/6815030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2541/815, 3177/8362.
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 2541/815,3177/8362?
Given fractions are 2541/815,3177/8362
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 2541/815,3177/8362, numerators are 2541,3177
Denominators are 815,8362
The GCF of 2541,3177 is 3 .
LCM of 815,8362 is 6815030.
The greatest common factor of 2541/815,3177/8362 = [GCF of 2541,3177]/[LCM of 815,8362]= 3/6815030
Therefore, the GCF of 2541/815,3177/8362 is 3/6815030.
To find the highest common factor of 2541,3177, we have to find the factors of both numbers and list the highest common factor.
The factors of 2541 are 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541
The factors of 3177 are 1, 3, 9, 353, 1059, 3177
The HCF of 2541,3177 is 3.
Lets's calculate GCF of 2541,3177
| 3 | 2541, 3177 |
| 847, 1059 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2541,3177 By Matching Biggest Common Factor Method
Now, list down the factors of 2541
:1,3,7,11,21,33,77,121,231,363,847,2541
Now, list down the factors of 3177
:1,3,9,353,1059,3177
Greatest Common Factor
We found the factors 2541,3177 . The biggest common factor number is the GCF number.
So the greatest common factor 2541,3177 is 3.
Lets's calculate LCM of 815,8362
Given numbers has no common factors except 1. So, there LCM is their product i.e 6815030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6815030
Therefore, the GCF of Fractions 2541/815,3177/8362 is 3/6815030
Least Common Multiple of 815,8362 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 815,8362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,8362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(815,8362) x common factors =1 x 1 = 1
LCM(815,8362) = ( 815 × 8362 ) / 1
LCM(815,8362) = 6815030 / 1
LCM(815,8362) = 6815030
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FAQs on GCF of Fractions of 2541/815, 3177/8362
1. What is the HCF of 2541,3177?
The HCF of 2541,3177 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 2541/815, 3177/8362?
Answer: GCF of Numerators as per given numbers 2541/815, 3177/8362 is
GCF of Numerators i.e. for 2541,3177 is 3
LCM of denominators i.e. for 815,8362 is 6815030.
Thus, GCF of Fractions is 3/6815030.Finally, GCF of Fractions for 2541/815, 3177/8362 is 3/6815030.