GCF of 290/909, 578/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/909, 578/122 i.e 2/110898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/909, 578/122.
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 290/909,578/122?
Given fractions are 290/909,578/122
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 290/909,578/122, numerators are 290,578
Denominators are 909,122
The GCF of 290,578 is 2 .
LCM of 909,122 is 110898.
The greatest common factor of 290/909,578/122 = [GCF of 290,578]/[LCM of 909,122]= 2/110898
Therefore, the GCF of 290/909,578/122 is 2/110898.
To find the highest common factor of 290,578, 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 578 are 1, 2, 17, 34, 289, 578
The HCF of 290,578 is 2.
Lets's calculate GCF of 290,578
| 2 | 290, 578 |
| 145, 289 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 290,578 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 578
:1,2,17,34,289,578
Greatest Common Factor
We found the factors 290,578 . The biggest common factor number is the GCF number.
So the greatest common factor 290,578 is 2.
Lets's calculate LCM of 909,122
Given numbers has no common factors except 1. So, there LCM is their product i.e 110898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110898
Therefore, the GCF of Fractions 290/909,578/122 is 2/110898
Least Common Multiple of 909,122 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 909,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,122) x common factors =1 x 1 = 1
LCM(909,122) = ( 909 × 122 ) / 1
LCM(909,122) = 110898 / 1
LCM(909,122) = 110898
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FAQs on GCF of Fractions of 290/909, 578/122
1. What is the HCF of 290,578?
The HCF of 290,578 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 290/909, 578/122?
Answer: GCF of Numerators as per given numbers 290/909, 578/122 is
GCF of Numerators i.e. for 290,578 is 2
LCM of denominators i.e. for 909,122 is 110898.
Thus, GCF of Fractions is 2/110898.Finally, GCF of Fractions for 290/909, 578/122 is 2/110898.