GCF of 9533/609, 4689/7461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9533/609, 4689/7461 i.e 1/1514583 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9533/609, 4689/7461.
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 9533/609,4689/7461?
Given fractions are 9533/609,4689/7461
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 9533/609,4689/7461, numerators are 9533,4689
Denominators are 609,7461
The GCF of 9533,4689 is 1 .
LCM of 609,7461 is 1514583.
The greatest common factor of 9533/609,4689/7461 = [GCF of 9533,4689]/[LCM of 609,7461]= 1/1514583
Therefore, the GCF of 9533/609,4689/7461 is 1/1514583.
To find the highest common factor of 9533,4689, we have to find the factors of both numbers and list the highest common factor.
The factors of 9533 are 1, 9533
The factors of 4689 are 1, 3, 9, 521, 1563, 4689
The HCF of 9533,4689 is 1.
Lets's calculate GCF of 9533,4689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9533,4689 By Matching Biggest Common Factor Method
Now, list down the factors of 9533
:1,9533
Now, list down the factors of 4689
:1,3,9,521,1563,4689
Greatest Common Factor
We found the factors 9533,4689 . The biggest common factor number is the GCF number.
So the greatest common factor 9533,4689 is 1.
Lets's calculate LCM of 609,7461
| 3 | 609, 7461 |
| 203, 2487 |
∴ So the LCM of the given numbers is 3 x 203 x 2487 = 1514583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1514583
Therefore, the GCF of Fractions 9533/609,4689/7461 is 1/1514583
Least Common Multiple of 609,7461 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 609,7461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,7461) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(609,7461) x common factors =3 x 1 = 3
LCM(609,7461) = ( 609 × 7461 ) / 3
LCM(609,7461) = 4543749 / 3
LCM(609,7461) = 1514583
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FAQs on GCF of Fractions of 9533/609, 4689/7461
1. What is the HCF of 9533,4689?
The HCF of 9533,4689 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 9533/609, 4689/7461?
Answer: GCF of Numerators as per given numbers 9533/609, 4689/7461 is
GCF of Numerators i.e. for 9533,4689 is 1
LCM of denominators i.e. for 609,7461 is 1514583.
Thus, GCF of Fractions is 1/1514583.Finally, GCF of Fractions for 9533/609, 4689/7461 is 1/1514583.