GCF of 29/652, 73/994, 458/330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 29/652, 73/994, 458/330 i.e 1/53467260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/652, 73/994, 458/330.
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 29/652,73/994,458/330?
Given fractions are 29/652,73/994,458/330
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 29/652,73/994,458/330, numerators are 29,73,458
Denominators are 652,994,330
The GCF of 29,73,458 is 1 .
LCM of 652,994,330 is 53467260.
The greatest common factor of 29/652,73/994,458/330 = [GCF of 29,73,458]/[LCM of 652,994,330]= 1/53467260
Therefore, the GCF of 29/652,73/994,458/330 is 1/53467260.
To find the highest common factor of 29,73,458, 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 73 are 1, 73
The factors of 458 are 1, 2, 229, 458
The HCF of 29,73,458 is 1.
Lets's calculate GCF of 29,73,458
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 29,73,458 By Matching Biggest Common Factor Method
Now, list down the factors of 29
:1,29
Now, list down the factors of 73
:1,73
Now, list down the factors of 458
:1,2,229,458
Greatest Common Factor
We found the factors 29,73,458 . The biggest common factor number is the GCF number.
So the greatest common factor 29,73,458 is 1.
Lets's calculate LCM of 652,994,330
| 2 | 652, 994, 330 |
| 326, 497, 165 |
∴ So the LCM of the given numbers is 2 x 326 x 497 x 165 = 53467260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53467260
Therefore, the GCF of Fractions 29/652,73/994,458/330 is 1/53467260
Least Common Multiple of 652,994,330 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 652,994,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,994,330) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(652,994,330) x common factors =2 x 2 = 4
LCM(652,994,330) = ( 652 × 994 × 330 ) / 4
LCM(652,994,330) = 213869040 / 4
LCM(652,994,330) = 53467260
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FAQs on GCF of Fractions of 29/652, 73/994, 458/330
1. What is the HCF of 29,73,458?
The HCF of 29,73,458 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 29/652, 73/994, 458/330?
Answer: GCF of Numerators as per given numbers 29/652, 73/994, 458/330 is
GCF of Numerators i.e. for 29,73,458 is 1
LCM of denominators i.e. for 652,994,330 is 53467260.
Thus, GCF of Fractions is 1/53467260.Finally, GCF of Fractions for 29/652, 73/994, 458/330 is 1/53467260.