GCF of 429/99, 605/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 429/99, 605/289 i.e 11/28611 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/99, 605/289.
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 429/99,605/289?
Given fractions are 429/99,605/289
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 429/99,605/289, numerators are 429,605
Denominators are 99,289
The GCF of 429,605 is 11 .
LCM of 99,289 is 28611.
The greatest common factor of 429/99,605/289 = [GCF of 429,605]/[LCM of 99,289]= 11/28611
Therefore, the GCF of 429/99,605/289 is 11/28611.
To find the highest common factor of 429,605, we have to find the factors of both numbers and list the highest common factor.
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The factors of 605 are 1, 5, 11, 55, 121, 605
The HCF of 429,605 is 11.
Lets's calculate GCF of 429,605
| 11 | 429, 605 |
| 39, 55 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 429,605 By Matching Biggest Common Factor Method
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Now, list down the factors of 605
:1,5,11,55,121,605
Greatest Common Factor
We found the factors 429,605 . The biggest common factor number is the GCF number.
So the greatest common factor 429,605 is 11.
Lets's calculate LCM of 99,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 28611
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/28611
Therefore, the GCF of Fractions 429/99,605/289 is 11/28611
Least Common Multiple of 99,289 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 99,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,289) x common factors =1 x 1 = 1
LCM(99,289) = ( 99 × 289 ) / 1
LCM(99,289) = 28611 / 1
LCM(99,289) = 28611
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FAQs on GCF of Fractions of 429/99, 605/289
1. What is the HCF of 429,605?
The HCF of 429,605 is 11
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 429/99, 605/289?
Answer: GCF of Numerators as per given numbers 429/99, 605/289 is
GCF of Numerators i.e. for 429,605 is 11
LCM of denominators i.e. for 99,289 is 28611.
Thus, GCF of Fractions is 11/28611.Finally, GCF of Fractions for 429/99, 605/289 is 11/28611.