GCF of 29/430, 33/278, 221/350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 29/430, 33/278, 221/350 i.e 1/2091950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/430, 33/278, 221/350.
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 29/430,33/278,221/350?
Given fractions are 29/430,33/278,221/350
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 29/430,33/278,221/350, numerators are 29,33,221
Denominators are 430,278,350
The GCF of 29,33,221 is 1 .
LCM of 430,278,350 is 2091950.
The greatest common factor of 29/430,33/278,221/350 = [GCF of 29,33,221]/[LCM of 430,278,350]= 1/2091950
Therefore, the GCF of 29/430,33/278,221/350 is 1/2091950.
To find the highest common factor of 29,33,221, 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 33 are 1, 3, 11, 33
The factors of 221 are 1, 13, 17, 221
The HCF of 29,33,221 is 1.
Lets's calculate GCF of 29,33,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 29,33,221 By Matching Biggest Common Factor Method
Now, list down the factors of 29
:1,29
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 221
:1,13,17,221
Greatest Common Factor
We found the factors 29,33,221 . The biggest common factor number is the GCF number.
So the greatest common factor 29,33,221 is 1.
Lets's calculate LCM of 430,278,350
| 2 | 430, 278, 350 |
| 5 | 215, 139, 175 |
| 43, 139, 35 |
∴ So the LCM of the given numbers is 2 x 5 x 43 x 139 x 35 = 2091950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2091950
Therefore, the GCF of Fractions 29/430,33/278,221/350 is 1/2091950
Least Common Multiple of 430,278,350 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 430,278,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,278,350) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(430,278,350) x common factors =2 x 10 = 20
LCM(430,278,350) = ( 430 × 278 × 350 ) / 20
LCM(430,278,350) = 41839000 / 20
LCM(430,278,350) = 2091950
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FAQs on GCF of Fractions of 29/430, 33/278, 221/350
1. What is the HCF of 29,33,221?
The HCF of 29,33,221 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 29/430, 33/278, 221/350?
Answer: GCF of Numerators as per given numbers 29/430, 33/278, 221/350 is
GCF of Numerators i.e. for 29,33,221 is 1
LCM of denominators i.e. for 430,278,350 is 2091950.
Thus, GCF of Fractions is 1/2091950.Finally, GCF of Fractions for 29/430, 33/278, 221/350 is 1/2091950.