GCF of 290/486, 663/992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/486, 663/992 i.e 1/241056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/486, 663/992.
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 290/486,663/992?
Given fractions are 290/486,663/992
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 290/486,663/992, numerators are 290,663
Denominators are 486,992
The GCF of 290,663 is 1 .
LCM of 486,992 is 241056.
The greatest common factor of 290/486,663/992 = [GCF of 290,663]/[LCM of 486,992]= 1/241056
Therefore, the GCF of 290/486,663/992 is 1/241056.
To find the highest common factor of 290,663, 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 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 290,663 is 1.
Lets's calculate GCF of 290,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 290,663 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 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 290,663 . The biggest common factor number is the GCF number.
So the greatest common factor 290,663 is 1.
Lets's calculate LCM of 486,992
| 2 | 486, 992 |
| 243, 496 |
∴ So the LCM of the given numbers is 2 x 243 x 496 = 241056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241056
Therefore, the GCF of Fractions 290/486,663/992 is 1/241056
Least Common Multiple of 486,992 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 486,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,992) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(486,992) x common factors =2 x 1 = 2
LCM(486,992) = ( 486 × 992 ) / 2
LCM(486,992) = 482112 / 2
LCM(486,992) = 241056
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FAQs on GCF of Fractions of 290/486, 663/992
1. What is the HCF of 290,663?
The HCF of 290,663 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 290/486, 663/992?
Answer: GCF of Numerators as per given numbers 290/486, 663/992 is
GCF of Numerators i.e. for 290,663 is 1
LCM of denominators i.e. for 486,992 is 241056.
Thus, GCF of Fractions is 1/241056.Finally, GCF of Fractions for 290/486, 663/992 is 1/241056.