GCF of 129/20, 469/675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 129/20, 469/675 i.e 1/2700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 129/20, 469/675.
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 129/20,469/675?
Given fractions are 129/20,469/675
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 129/20,469/675, numerators are 129,469
Denominators are 20,675
The GCF of 129,469 is 1 .
LCM of 20,675 is 2700.
The greatest common factor of 129/20,469/675 = [GCF of 129,469]/[LCM of 20,675]= 1/2700
Therefore, the GCF of 129/20,469/675 is 1/2700.
To find the highest common factor of 129,469, 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 469 are 1, 7, 67, 469
The HCF of 129,469 is 1.
Lets's calculate GCF of 129,469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 129,469 By Matching Biggest Common Factor Method
Now, list down the factors of 129
:1,3,43,129
Now, list down the factors of 469
:1,7,67,469
Greatest Common Factor
We found the factors 129,469 . The biggest common factor number is the GCF number.
So the greatest common factor 129,469 is 1.
Lets's calculate LCM of 20,675
| 5 | 20, 675 |
| 4, 135 |
∴ So the LCM of the given numbers is 5 x 4 x 135 = 2700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2700
Therefore, the GCF of Fractions 129/20,469/675 is 1/2700
Least Common Multiple of 20,675 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 20,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,675) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(20,675) x common factors =5 x 1 = 5
LCM(20,675) = ( 20 × 675 ) / 5
LCM(20,675) = 13500 / 5
LCM(20,675) = 2700
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FAQs on GCF of Fractions of 129/20, 469/675
1. What is the HCF of 129,469?
The HCF of 129,469 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 129/20, 469/675?
Answer: GCF of Numerators as per given numbers 129/20, 469/675 is
GCF of Numerators i.e. for 129,469 is 1
LCM of denominators i.e. for 20,675 is 2700.
Thus, GCF of Fractions is 1/2700.Finally, GCF of Fractions for 129/20, 469/675 is 1/2700.