GCF of 9804/576, 9574/909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9804/576, 9574/909 i.e 2/58176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9804/576, 9574/909.
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 9804/576,9574/909?
Given fractions are 9804/576,9574/909
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 9804/576,9574/909, numerators are 9804,9574
Denominators are 576,909
The GCF of 9804,9574 is 2 .
LCM of 576,909 is 58176.
The greatest common factor of 9804/576,9574/909 = [GCF of 9804,9574]/[LCM of 576,909]= 2/58176
Therefore, the GCF of 9804/576,9574/909 is 2/58176.
To find the highest common factor of 9804,9574, we have to find the factors of both numbers and list the highest common factor.
The factors of 9804 are 1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804
The factors of 9574 are 1, 2, 4787, 9574
The HCF of 9804,9574 is 2.
Lets's calculate GCF of 9804,9574
| 2 | 9804, 9574 |
| 4902, 4787 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9804,9574 By Matching Biggest Common Factor Method
Now, list down the factors of 9804
:1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804
Now, list down the factors of 9574
:1,2,4787,9574
Greatest Common Factor
We found the factors 9804,9574 . The biggest common factor number is the GCF number.
So the greatest common factor 9804,9574 is 2.
Lets's calculate LCM of 576,909
| 3 | 576, 909 |
| 3 | 192, 303 |
| 64, 101 |
∴ So the LCM of the given numbers is 3 x 3 x 64 x 101 = 58176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58176
Therefore, the GCF of Fractions 9804/576,9574/909 is 2/58176
Least Common Multiple of 576,909 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 576,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,909) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(576,909) x common factors =9 x 1 = 9
LCM(576,909) = ( 576 × 909 ) / 9
LCM(576,909) = 523584 / 9
LCM(576,909) = 58176
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FAQs on GCF of Fractions of 9804/576, 9574/909
1. What is the HCF of 9804,9574?
The HCF of 9804,9574 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 9804/576, 9574/909?
Answer: GCF of Numerators as per given numbers 9804/576, 9574/909 is
GCF of Numerators i.e. for 9804,9574 is 2
LCM of denominators i.e. for 576,909 is 58176.
Thus, GCF of Fractions is 2/58176.Finally, GCF of Fractions for 9804/576, 9574/909 is 2/58176.