GCF of 29/33, 86/428, 164/609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 29/33, 86/428, 164/609 i.e 1/2867172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/33, 86/428, 164/609.
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 29/33,86/428,164/609?
Given fractions are 29/33,86/428,164/609
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 29/33,86/428,164/609, numerators are 29,86,164
Denominators are 33,428,609
The GCF of 29,86,164 is 1 .
LCM of 33,428,609 is 2867172.
The greatest common factor of 29/33,86/428,164/609 = [GCF of 29,86,164]/[LCM of 33,428,609]= 1/2867172
Therefore, the GCF of 29/33,86/428,164/609 is 1/2867172.
To find the highest common factor of 29,86,164, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 86 are 1, 2, 43, 86
The factors of 164 are 1, 2, 4, 41, 82, 164
The HCF of 29,86,164 is 1.
Lets's calculate GCF of 29,86,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 29,86,164 By Matching Biggest Common Factor Method
Now, list down the factors of 29
:1,29
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 29,86,164 . The biggest common factor number is the GCF number.
So the greatest common factor 29,86,164 is 1.
Lets's calculate LCM of 33,428,609
| 3 | 33, 428, 609 |
| 11, 428, 203 |
∴ So the LCM of the given numbers is 3 x 11 x 428 x 203 = 2867172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2867172
Therefore, the GCF of Fractions 29/33,86/428,164/609 is 1/2867172
Least Common Multiple of 33,428,609 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 33,428,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,428,609) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(33,428,609) x common factors =1 x 3 = 3
LCM(33,428,609) = ( 33 × 428 × 609 ) / 3
LCM(33,428,609) = 8601516 / 3
LCM(33,428,609) = 2867172
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FAQs on GCF of Fractions of 29/33, 86/428, 164/609
1. What is the HCF of 29,86,164?
The HCF of 29,86,164 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 29/33, 86/428, 164/609?
Answer: GCF of Numerators as per given numbers 29/33, 86/428, 164/609 is
GCF of Numerators i.e. for 29,86,164 is 1
LCM of denominators i.e. for 33,428,609 is 2867172.
Thus, GCF of Fractions is 1/2867172.Finally, GCF of Fractions for 29/33, 86/428, 164/609 is 1/2867172.