GCF of 9579/457, 8220/9385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9579/457, 8220/9385 i.e 3/4288945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9579/457, 8220/9385.
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 9579/457,8220/9385?
Given fractions are 9579/457,8220/9385
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 9579/457,8220/9385, numerators are 9579,8220
Denominators are 457,9385
The GCF of 9579,8220 is 3 .
LCM of 457,9385 is 4288945.
The greatest common factor of 9579/457,8220/9385 = [GCF of 9579,8220]/[LCM of 457,9385]= 3/4288945
Therefore, the GCF of 9579/457,8220/9385 is 3/4288945.
To find the highest common factor of 9579,8220, we have to find the factors of both numbers and list the highest common factor.
The factors of 9579 are 1, 3, 31, 93, 103, 309, 3193, 9579
The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220
The HCF of 9579,8220 is 3.
Lets's calculate GCF of 9579,8220
| 3 | 9579, 8220 |
| 3193, 2740 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9579,8220 By Matching Biggest Common Factor Method
Now, list down the factors of 9579
:1,3,31,93,103,309,3193,9579
Now, list down the factors of 8220
:1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Greatest Common Factor
We found the factors 9579,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 9579,8220 is 3.
Lets's calculate LCM of 457,9385
Given numbers has no common factors except 1. So, there LCM is their product i.e 4288945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4288945
Therefore, the GCF of Fractions 9579/457,8220/9385 is 3/4288945
Least Common Multiple of 457,9385 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 457,9385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,9385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,9385) x common factors =1 x 1 = 1
LCM(457,9385) = ( 457 × 9385 ) / 1
LCM(457,9385) = 4288945 / 1
LCM(457,9385) = 4288945
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FAQs on GCF of Fractions of 9579/457, 8220/9385
1. What is the HCF of 9579,8220?
The HCF of 9579,8220 is 3
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 9579/457, 8220/9385?
Answer: GCF of Numerators as per given numbers 9579/457, 8220/9385 is
GCF of Numerators i.e. for 9579,8220 is 3
LCM of denominators i.e. for 457,9385 is 4288945.
Thus, GCF of Fractions is 3/4288945.Finally, GCF of Fractions for 9579/457, 8220/9385 is 3/4288945.