GCF of 5031/172, 8643/8998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5031/172, 8643/8998 i.e 129/773828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5031/172, 8643/8998.
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 5031/172,8643/8998?
Given fractions are 5031/172,8643/8998
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 5031/172,8643/8998, numerators are 5031,8643
Denominators are 172,8998
The GCF of 5031,8643 is 129 .
LCM of 172,8998 is 773828.
The greatest common factor of 5031/172,8643/8998 = [GCF of 5031,8643]/[LCM of 172,8998]= 129/773828
Therefore, the GCF of 5031/172,8643/8998 is 129/773828.
To find the highest common factor of 5031,8643, 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 8643 are 1, 3, 43, 67, 129, 201, 2881, 8643
The HCF of 5031,8643 is 129.
Lets's calculate GCF of 5031,8643
| 3 | 5031, 8643 |
| 43 | 1677, 2881 |
| 39, 67 |
∴ So the GCF of the given numbers is 3 x 43 = 129
Greatest Common Factor of 5031,8643 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 8643
:1,3,43,67,129,201,2881,8643
Greatest Common Factor
We found the factors 5031,8643 . The biggest common factor number is the GCF number.
So the greatest common factor 5031,8643 is 129.
Lets's calculate LCM of 172,8998
| 2 | 172, 8998 |
| 86, 4499 |
∴ So the LCM of the given numbers is 2 x 86 x 4499 = 773828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 129/773828
Therefore, the GCF of Fractions 5031/172,8643/8998 is 129/773828
Least Common Multiple of 172,8998 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 172,8998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,8998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,8998) x common factors =2 x 1 = 2
LCM(172,8998) = ( 172 × 8998 ) / 2
LCM(172,8998) = 1547656 / 2
LCM(172,8998) = 773828
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FAQs on GCF of Fractions of 5031/172, 8643/8998
1. What is the HCF of 5031,8643?
The HCF of 5031,8643 is 129
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 5031/172, 8643/8998?
Answer: GCF of Numerators as per given numbers 5031/172, 8643/8998 is
GCF of Numerators i.e. for 5031,8643 is 129
LCM of denominators i.e. for 172,8998 is 773828.
Thus, GCF of Fractions is 129/773828.Finally, GCF of Fractions for 5031/172, 8643/8998 is 129/773828.