GCF of 129/41, 213/834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 129/41, 213/834 i.e 3/34194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 129/41, 213/834.
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 129/41,213/834?
Given fractions are 129/41,213/834
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 129/41,213/834, numerators are 129,213
Denominators are 41,834
The GCF of 129,213 is 3 .
LCM of 41,834 is 34194.
The greatest common factor of 129/41,213/834 = [GCF of 129,213]/[LCM of 41,834]= 3/34194
Therefore, the GCF of 129/41,213/834 is 3/34194.
To find the highest common factor of 129,213, 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 213 are 1, 3, 71, 213
The HCF of 129,213 is 3.
Lets's calculate GCF of 129,213
| 3 | 129, 213 |
| 43, 71 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 129,213 By Matching Biggest Common Factor Method
Now, list down the factors of 129
:1,3,43,129
Now, list down the factors of 213
:1,3,71,213
Greatest Common Factor
We found the factors 129,213 . The biggest common factor number is the GCF number.
So the greatest common factor 129,213 is 3.
Lets's calculate LCM of 41,834
Given numbers has no common factors except 1. So, there LCM is their product i.e 34194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34194
Therefore, the GCF of Fractions 129/41,213/834 is 3/34194
Least Common Multiple of 41,834 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 41,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,834) x common factors =1 x 1 = 1
LCM(41,834) = ( 41 × 834 ) / 1
LCM(41,834) = 34194 / 1
LCM(41,834) = 34194
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FAQs on GCF of Fractions of 129/41, 213/834
1. What is the HCF of 129,213?
The HCF of 129,213 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 129/41, 213/834?
Answer: GCF of Numerators as per given numbers 129/41, 213/834 is
GCF of Numerators i.e. for 129,213 is 3
LCM of denominators i.e. for 41,834 is 34194.
Thus, GCF of Fractions is 3/34194.Finally, GCF of Fractions for 129/41, 213/834 is 3/34194.