GCF of 2309/432, 8141/3786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2309/432, 8141/3786 i.e 1/272592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2309/432, 8141/3786.
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 2309/432,8141/3786?
Given fractions are 2309/432,8141/3786
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 2309/432,8141/3786, numerators are 2309,8141
Denominators are 432,3786
The GCF of 2309,8141 is 1 .
LCM of 432,3786 is 272592.
The greatest common factor of 2309/432,8141/3786 = [GCF of 2309,8141]/[LCM of 432,3786]= 1/272592
Therefore, the GCF of 2309/432,8141/3786 is 1/272592.
To find the highest common factor of 2309,8141, we have to find the factors of both numbers and list the highest common factor.
The factors of 2309 are 1, 2309
The factors of 8141 are 1, 7, 1163, 8141
The HCF of 2309,8141 is 1.
Lets's calculate GCF of 2309,8141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2309,8141 By Matching Biggest Common Factor Method
Now, list down the factors of 2309
:1,2309
Now, list down the factors of 8141
:1,7,1163,8141
Greatest Common Factor
We found the factors 2309,8141 . The biggest common factor number is the GCF number.
So the greatest common factor 2309,8141 is 1.
Lets's calculate LCM of 432,3786
| 2 | 432, 3786 |
| 3 | 216, 1893 |
| 72, 631 |
∴ So the LCM of the given numbers is 2 x 3 x 72 x 631 = 272592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272592
Therefore, the GCF of Fractions 2309/432,8141/3786 is 1/272592
Least Common Multiple of 432,3786 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 432,3786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,3786) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(432,3786) x common factors =6 x 1 = 6
LCM(432,3786) = ( 432 × 3786 ) / 6
LCM(432,3786) = 1635552 / 6
LCM(432,3786) = 272592
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FAQs on GCF of Fractions of 2309/432, 8141/3786
1. What is the HCF of 2309,8141?
The HCF of 2309,8141 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 2309/432, 8141/3786?
Answer: GCF of Numerators as per given numbers 2309/432, 8141/3786 is
GCF of Numerators i.e. for 2309,8141 is 1
LCM of denominators i.e. for 432,3786 is 272592.
Thus, GCF of Fractions is 1/272592.Finally, GCF of Fractions for 2309/432, 8141/3786 is 1/272592.