GCF of 2388/141, 8671/9400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2388/141, 8671/9400 i.e 1/28200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2388/141, 8671/9400.
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 2388/141,8671/9400?
Given fractions are 2388/141,8671/9400
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 2388/141,8671/9400, numerators are 2388,8671
Denominators are 141,9400
The GCF of 2388,8671 is 1 .
LCM of 141,9400 is 28200.
The greatest common factor of 2388/141,8671/9400 = [GCF of 2388,8671]/[LCM of 141,9400]= 1/28200
Therefore, the GCF of 2388/141,8671/9400 is 1/28200.
To find the highest common factor of 2388,8671, we have to find the factors of both numbers and list the highest common factor.
The factors of 2388 are 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388
The factors of 8671 are 1, 13, 23, 29, 299, 377, 667, 8671
The HCF of 2388,8671 is 1.
Lets's calculate GCF of 2388,8671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2388,8671 By Matching Biggest Common Factor Method
Now, list down the factors of 2388
:1,2,3,4,6,12,199,398,597,796,1194,2388
Now, list down the factors of 8671
:1,13,23,29,299,377,667,8671
Greatest Common Factor
We found the factors 2388,8671 . The biggest common factor number is the GCF number.
So the greatest common factor 2388,8671 is 1.
Lets's calculate LCM of 141,9400
| 47 | 141, 9400 |
| 3, 200 |
∴ So the LCM of the given numbers is 47 x 3 x 200 = 28200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28200
Therefore, the GCF of Fractions 2388/141,8671/9400 is 1/28200
Least Common Multiple of 141,9400 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 141,9400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,9400) = 47
common factors(in case of two or more numbers have common factors) = 1
GCF(141,9400) x common factors =47 x 1 = 47
LCM(141,9400) = ( 141 × 9400 ) / 47
LCM(141,9400) = 1325400 / 47
LCM(141,9400) = 28200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2388/141, 8671/9400
1. What is the HCF of 2388,8671?
The HCF of 2388,8671 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 2388/141, 8671/9400?
Answer: GCF of Numerators as per given numbers 2388/141, 8671/9400 is
GCF of Numerators i.e. for 2388,8671 is 1
LCM of denominators i.e. for 141,9400 is 28200.
Thus, GCF of Fractions is 1/28200.Finally, GCF of Fractions for 2388/141, 8671/9400 is 1/28200.