GCF of 344/258, 290/215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 344/258, 290/215 i.e 2/1290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 344/258, 290/215.
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 344/258,290/215?
Given fractions are 344/258,290/215
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 344/258,290/215, numerators are 344,290
Denominators are 258,215
The GCF of 344,290 is 2 .
LCM of 258,215 is 1290.
The greatest common factor of 344/258,290/215 = [GCF of 344,290]/[LCM of 258,215]= 2/1290
Therefore, the GCF of 344/258,290/215 is 2/1290.
To find the highest common factor of 344,290, we have to find the factors of both numbers and list the highest common factor.
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The HCF of 344,290 is 2.
Lets's calculate GCF of 344,290
| 2 | 344, 290 |
| 172, 145 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 344,290 By Matching Biggest Common Factor Method
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 344,290 . The biggest common factor number is the GCF number.
So the greatest common factor 344,290 is 2.
Lets's calculate LCM of 258,215
| 43 | 258, 215 |
| 6, 5 |
∴ So the LCM of the given numbers is 43 x 6 x 5 = 1290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1290
Therefore, the GCF of Fractions 344/258,290/215 is 2/1290
Least Common Multiple of 258,215 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 258,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,215) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(258,215) x common factors =43 x 1 = 43
LCM(258,215) = ( 258 × 215 ) / 43
LCM(258,215) = 55470 / 43
LCM(258,215) = 1290
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FAQs on GCF of Fractions of 344/258, 290/215
1. What is the HCF of 344,290?
The HCF of 344,290 is 2
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 344/258, 290/215?
Answer: GCF of Numerators as per given numbers 344/258, 290/215 is
GCF of Numerators i.e. for 344,290 is 2
LCM of denominators i.e. for 258,215 is 1290.
Thus, GCF of Fractions is 2/1290.Finally, GCF of Fractions for 344/258, 290/215 is 2/1290.