GCF of 5043/875, 5415/1249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5043/875, 5415/1249 i.e 3/1092875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5043/875, 5415/1249.
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 5043/875,5415/1249?
Given fractions are 5043/875,5415/1249
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 5043/875,5415/1249, numerators are 5043,5415
Denominators are 875,1249
The GCF of 5043,5415 is 3 .
LCM of 875,1249 is 1092875.
The greatest common factor of 5043/875,5415/1249 = [GCF of 5043,5415]/[LCM of 875,1249]= 3/1092875
Therefore, the GCF of 5043/875,5415/1249 is 3/1092875.
To find the highest common factor of 5043,5415, we have to find the factors of both numbers and list the highest common factor.
The factors of 5043 are 1, 3, 41, 123, 1681, 5043
The factors of 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415
The HCF of 5043,5415 is 3.
Lets's calculate GCF of 5043,5415
| 3 | 5043, 5415 |
| 1681, 1805 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5043,5415 By Matching Biggest Common Factor Method
Now, list down the factors of 5043
:1,3,41,123,1681,5043
Now, list down the factors of 5415
:1,3,5,15,19,57,95,285,361,1083,1805,5415
Greatest Common Factor
We found the factors 5043,5415 . The biggest common factor number is the GCF number.
So the greatest common factor 5043,5415 is 3.
Lets's calculate LCM of 875,1249
Given numbers has no common factors except 1. So, there LCM is their product i.e 1092875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1092875
Therefore, the GCF of Fractions 5043/875,5415/1249 is 3/1092875
Least Common Multiple of 875,1249 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 875,1249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,1249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,1249) x common factors =1 x 1 = 1
LCM(875,1249) = ( 875 × 1249 ) / 1
LCM(875,1249) = 1092875 / 1
LCM(875,1249) = 1092875
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FAQs on GCF of Fractions of 5043/875, 5415/1249
1. What is the HCF of 5043,5415?
The HCF of 5043,5415 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 5043/875, 5415/1249?
Answer: GCF of Numerators as per given numbers 5043/875, 5415/1249 is
GCF of Numerators i.e. for 5043,5415 is 3
LCM of denominators i.e. for 875,1249 is 1092875.
Thus, GCF of Fractions is 3/1092875.Finally, GCF of Fractions for 5043/875, 5415/1249 is 3/1092875.