GCF of 3027/230, 7289/578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3027/230, 7289/578 i.e 1/66470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3027/230, 7289/578.
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 3027/230,7289/578?
Given fractions are 3027/230,7289/578
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 3027/230,7289/578, numerators are 3027,7289
Denominators are 230,578
The GCF of 3027,7289 is 1 .
LCM of 230,578 is 66470.
The greatest common factor of 3027/230,7289/578 = [GCF of 3027,7289]/[LCM of 230,578]= 1/66470
Therefore, the GCF of 3027/230,7289/578 is 1/66470.
To find the highest common factor of 3027,7289, we have to find the factors of both numbers and list the highest common factor.
The factors of 3027 are 1, 3, 1009, 3027
The factors of 7289 are 1, 37, 197, 7289
The HCF of 3027,7289 is 1.
Lets's calculate GCF of 3027,7289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3027,7289 By Matching Biggest Common Factor Method
Now, list down the factors of 3027
:1,3,1009,3027
Now, list down the factors of 7289
:1,37,197,7289
Greatest Common Factor
We found the factors 3027,7289 . The biggest common factor number is the GCF number.
So the greatest common factor 3027,7289 is 1.
Lets's calculate LCM of 230,578
| 2 | 230, 578 |
| 115, 289 |
∴ So the LCM of the given numbers is 2 x 115 x 289 = 66470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66470
Therefore, the GCF of Fractions 3027/230,7289/578 is 1/66470
Least Common Multiple of 230,578 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 230,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(230,578) x common factors =2 x 1 = 2
LCM(230,578) = ( 230 × 578 ) / 2
LCM(230,578) = 132940 / 2
LCM(230,578) = 66470
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FAQs on GCF of Fractions of 3027/230, 7289/578
1. What is the HCF of 3027,7289?
The HCF of 3027,7289 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 3027/230, 7289/578?
Answer: GCF of Numerators as per given numbers 3027/230, 7289/578 is
GCF of Numerators i.e. for 3027,7289 is 1
LCM of denominators i.e. for 230,578 is 66470.
Thus, GCF of Fractions is 1/66470.Finally, GCF of Fractions for 3027/230, 7289/578 is 1/66470.