GCF of 290/159, 671/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/159, 671/228 i.e 1/12084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/159, 671/228.
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 290/159,671/228?
Given fractions are 290/159,671/228
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 290/159,671/228, numerators are 290,671
Denominators are 159,228
The GCF of 290,671 is 1 .
LCM of 159,228 is 12084.
The greatest common factor of 290/159,671/228 = [GCF of 290,671]/[LCM of 159,228]= 1/12084
Therefore, the GCF of 290/159,671/228 is 1/12084.
To find the highest common factor of 290,671, 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 671 are 1, 11, 61, 671
The HCF of 290,671 is 1.
Lets's calculate GCF of 290,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 290,671 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 671
:1,11,61,671
Greatest Common Factor
We found the factors 290,671 . The biggest common factor number is the GCF number.
So the greatest common factor 290,671 is 1.
Lets's calculate LCM of 159,228
| 3 | 159, 228 |
| 53, 76 |
∴ So the LCM of the given numbers is 3 x 53 x 76 = 12084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12084
Therefore, the GCF of Fractions 290/159,671/228 is 1/12084
Least Common Multiple of 159,228 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 159,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,228) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,228) x common factors =3 x 1 = 3
LCM(159,228) = ( 159 × 228 ) / 3
LCM(159,228) = 36252 / 3
LCM(159,228) = 12084
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FAQs on GCF of Fractions of 290/159, 671/228
1. What is the HCF of 290,671?
The HCF of 290,671 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 290/159, 671/228?
Answer: GCF of Numerators as per given numbers 290/159, 671/228 is
GCF of Numerators i.e. for 290,671 is 1
LCM of denominators i.e. for 159,228 is 12084.
Thus, GCF of Fractions is 1/12084.Finally, GCF of Fractions for 290/159, 671/228 is 1/12084.