GCF of 129/499, 1032/2030
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 129/499, 1032/2030 i.e 129/1012970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 129/499, 1032/2030.
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 129/499,1032/2030?
Given fractions are 129/499,1032/2030
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 129/499,1032/2030, numerators are 129,1032
Denominators are 499,2030
The GCF of 129,1032 is 129 .
LCM of 499,2030 is 1012970.
The greatest common factor of 129/499,1032/2030 = [GCF of 129,1032]/[LCM of 499,2030]= 129/1012970
Therefore, the GCF of 129/499,1032/2030 is 129/1012970.
To find the highest common factor of 129,1032, we have to find the factors of both numbers and list the highest common factor.
The factors of 129 are 1, 3, 43, 129
The factors of 1032 are 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032
The HCF of 129,1032 is 129.
Lets's calculate GCF of 129,1032
| 3 | 129, 1032 |
| 43 | 43, 344 |
| 1, 8 |
∴ So the GCF of the given numbers is 3 x 43 = 129
Greatest Common Factor of 129,1032 By Matching Biggest Common Factor Method
Now, list down the factors of 129
:1,3,43,129
Now, list down the factors of 1032
:1,2,3,4,6,8,12,24,43,86,129,172,258,344,516,1032
Greatest Common Factor
We found the factors 129,1032 . The biggest common factor number is the GCF number.
So the greatest common factor 129,1032 is 129.
Lets's calculate LCM of 499,2030
Given numbers has no common factors except 1. So, there LCM is their product i.e 1012970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 129/1012970
Therefore, the GCF of Fractions 129/499,1032/2030 is 129/1012970
Least Common Multiple of 499,2030 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 499,2030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,2030) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,2030) x common factors =1 x 1 = 1
LCM(499,2030) = ( 499 × 2030 ) / 1
LCM(499,2030) = 1012970 / 1
LCM(499,2030) = 1012970
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FAQs on GCF of Fractions of 129/499, 1032/2030
1. What is the HCF of 129,1032?
The HCF of 129,1032 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 129/499, 1032/2030?
Answer: GCF of Numerators as per given numbers 129/499, 1032/2030 is
GCF of Numerators i.e. for 129,1032 is 129
LCM of denominators i.e. for 499,2030 is 1012970.
Thus, GCF of Fractions is 129/1012970.Finally, GCF of Fractions for 129/499, 1032/2030 is 129/1012970.