GCF of 6619/270, 9522/9027
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6619/270, 9522/9027 i.e 1/270810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6619/270, 9522/9027.
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 6619/270,9522/9027?
Given fractions are 6619/270,9522/9027
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 6619/270,9522/9027, numerators are 6619,9522
Denominators are 270,9027
The GCF of 6619,9522 is 1 .
LCM of 270,9027 is 270810.
The greatest common factor of 6619/270,9522/9027 = [GCF of 6619,9522]/[LCM of 270,9027]= 1/270810
Therefore, the GCF of 6619/270,9522/9027 is 1/270810.
To find the highest common factor of 6619,9522, we have to find the factors of both numbers and list the highest common factor.
The factors of 6619 are 1, 6619
The factors of 9522 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522
The HCF of 6619,9522 is 1.
Lets's calculate GCF of 6619,9522
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6619,9522 By Matching Biggest Common Factor Method
Now, list down the factors of 6619
:1,6619
Now, list down the factors of 9522
:1,2,3,6,9,18,23,46,69,138,207,414,529,1058,1587,3174,4761,9522
Greatest Common Factor
We found the factors 6619,9522 . The biggest common factor number is the GCF number.
So the greatest common factor 6619,9522 is 1.
Lets's calculate LCM of 270,9027
| 3 | 270, 9027 |
| 3 | 90, 3009 |
| 30, 1003 |
∴ So the LCM of the given numbers is 3 x 3 x 30 x 1003 = 270810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270810
Therefore, the GCF of Fractions 6619/270,9522/9027 is 1/270810
Least Common Multiple of 270,9027 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 270,9027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,9027) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(270,9027) x common factors =9 x 1 = 9
LCM(270,9027) = ( 270 × 9027 ) / 9
LCM(270,9027) = 2437290 / 9
LCM(270,9027) = 270810
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FAQs on GCF of Fractions of 6619/270, 9522/9027
1. What is the HCF of 6619,9522?
The HCF of 6619,9522 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 6619/270, 9522/9027?
Answer: GCF of Numerators as per given numbers 6619/270, 9522/9027 is
GCF of Numerators i.e. for 6619,9522 is 1
LCM of denominators i.e. for 270,9027 is 270810.
Thus, GCF of Fractions is 1/270810.Finally, GCF of Fractions for 6619/270, 9522/9027 is 1/270810.