GCF of 290/80, 322/3215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/80, 322/3215 i.e 2/51440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/80, 322/3215.
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 290/80,322/3215?
Given fractions are 290/80,322/3215
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 290/80,322/3215, numerators are 290,322
Denominators are 80,3215
The GCF of 290,322 is 2 .
LCM of 80,3215 is 51440.
The greatest common factor of 290/80,322/3215 = [GCF of 290,322]/[LCM of 80,3215]= 2/51440
Therefore, the GCF of 290/80,322/3215 is 2/51440.
To find the highest common factor of 290,322, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The HCF of 290,322 is 2.
Lets's calculate GCF of 290,322
| 2 | 290, 322 |
| 145, 161 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 290,322 By Matching Biggest Common Factor Method
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 290,322 . The biggest common factor number is the GCF number.
So the greatest common factor 290,322 is 2.
Lets's calculate LCM of 80,3215
| 5 | 80, 3215 |
| 16, 643 |
∴ So the LCM of the given numbers is 5 x 16 x 643 = 51440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51440
Therefore, the GCF of Fractions 290/80,322/3215 is 2/51440
Least Common Multiple of 80,3215 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 80,3215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,3215) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(80,3215) x common factors =5 x 1 = 5
LCM(80,3215) = ( 80 × 3215 ) / 5
LCM(80,3215) = 257200 / 5
LCM(80,3215) = 51440
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FAQs on GCF of Fractions of 290/80, 322/3215
1. What is the HCF of 290,322?
The HCF of 290,322 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 290/80, 322/3215?
Answer: GCF of Numerators as per given numbers 290/80, 322/3215 is
GCF of Numerators i.e. for 290,322 is 2
LCM of denominators i.e. for 80,3215 is 51440.
Thus, GCF of Fractions is 2/51440.Finally, GCF of Fractions for 290/80, 322/3215 is 2/51440.