GCF of 5031/232, 2502/3335
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5031/232, 2502/3335 i.e 9/26680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5031/232, 2502/3335.
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 5031/232,2502/3335?
Given fractions are 5031/232,2502/3335
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 5031/232,2502/3335, numerators are 5031,2502
Denominators are 232,3335
The GCF of 5031,2502 is 9 .
LCM of 232,3335 is 26680.
The greatest common factor of 5031/232,2502/3335 = [GCF of 5031,2502]/[LCM of 232,3335]= 9/26680
Therefore, the GCF of 5031/232,2502/3335 is 9/26680.
To find the highest common factor of 5031,2502, we have to find the factors of both numbers and list the highest common factor.
The factors of 5031 are 1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031
The factors of 2502 are 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502
The HCF of 5031,2502 is 9.
Lets's calculate GCF of 5031,2502
| 3 | 5031, 2502 |
| 3 | 1677, 834 |
| 559, 278 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5031,2502 By Matching Biggest Common Factor Method
Now, list down the factors of 5031
:1,3,9,13,39,43,117,129,387,559,1677,5031
Now, list down the factors of 2502
:1,2,3,6,9,18,139,278,417,834,1251,2502
Greatest Common Factor
We found the factors 5031,2502 . The biggest common factor number is the GCF number.
So the greatest common factor 5031,2502 is 9.
Lets's calculate LCM of 232,3335
| 29 | 232, 3335 |
| 8, 115 |
∴ So the LCM of the given numbers is 29 x 8 x 115 = 26680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/26680
Therefore, the GCF of Fractions 5031/232,2502/3335 is 9/26680
Least Common Multiple of 232,3335 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 232,3335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,3335) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(232,3335) x common factors =29 x 1 = 29
LCM(232,3335) = ( 232 × 3335 ) / 29
LCM(232,3335) = 773720 / 29
LCM(232,3335) = 26680
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FAQs on GCF of Fractions of 5031/232, 2502/3335
1. What is the HCF of 5031,2502?
The HCF of 5031,2502 is 9
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 5031/232, 2502/3335?
Answer: GCF of Numerators as per given numbers 5031/232, 2502/3335 is
GCF of Numerators i.e. for 5031,2502 is 9
LCM of denominators i.e. for 232,3335 is 26680.
Thus, GCF of Fractions is 9/26680.Finally, GCF of Fractions for 5031/232, 2502/3335 is 9/26680.