GCF of 5243/561, 2376/3141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5243/561, 2376/3141 i.e 1/587367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5243/561, 2376/3141.
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 5243/561,2376/3141?
Given fractions are 5243/561,2376/3141
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 5243/561,2376/3141, numerators are 5243,2376
Denominators are 561,3141
The GCF of 5243,2376 is 1 .
LCM of 561,3141 is 587367.
The greatest common factor of 5243/561,2376/3141 = [GCF of 5243,2376]/[LCM of 561,3141]= 1/587367
Therefore, the GCF of 5243/561,2376/3141 is 1/587367.
To find the highest common factor of 5243,2376, we have to find the factors of both numbers and list the highest common factor.
The factors of 5243 are 1, 7, 49, 107, 749, 5243
The factors of 2376 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376
The HCF of 5243,2376 is 1.
Lets's calculate GCF of 5243,2376
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5243,2376 By Matching Biggest Common Factor Method
Now, list down the factors of 5243
:1,7,49,107,749,5243
Now, list down the factors of 2376
:1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,88,99,108,132,198,216,264,297,396,594,792,1188,2376
Greatest Common Factor
We found the factors 5243,2376 . The biggest common factor number is the GCF number.
So the greatest common factor 5243,2376 is 1.
Lets's calculate LCM of 561,3141
| 3 | 561, 3141 |
| 187, 1047 |
∴ So the LCM of the given numbers is 3 x 187 x 1047 = 587367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/587367
Therefore, the GCF of Fractions 5243/561,2376/3141 is 1/587367
Least Common Multiple of 561,3141 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 561,3141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,3141) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,3141) x common factors =3 x 1 = 3
LCM(561,3141) = ( 561 × 3141 ) / 3
LCM(561,3141) = 1762101 / 3
LCM(561,3141) = 587367
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5243/561, 2376/3141
1. What is the HCF of 5243,2376?
The HCF of 5243,2376 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 5243/561, 2376/3141?
Answer: GCF of Numerators as per given numbers 5243/561, 2376/3141 is
GCF of Numerators i.e. for 5243,2376 is 1
LCM of denominators i.e. for 561,3141 is 587367.
Thus, GCF of Fractions is 1/587367.Finally, GCF of Fractions for 5243/561, 2376/3141 is 1/587367.