GCF of 9360/408, 5789/9985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9360/408, 5789/9985 i.e 1/4073880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9360/408, 5789/9985.
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 9360/408,5789/9985?
Given fractions are 9360/408,5789/9985
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 9360/408,5789/9985, numerators are 9360,5789
Denominators are 408,9985
The GCF of 9360,5789 is 1 .
LCM of 408,9985 is 4073880.
The greatest common factor of 9360/408,5789/9985 = [GCF of 9360,5789]/[LCM of 408,9985]= 1/4073880
Therefore, the GCF of 9360/408,5789/9985 is 1/4073880.
To find the highest common factor of 9360,5789, we have to find the factors of both numbers and list the highest common factor.
The factors of 9360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680, 9360
The factors of 5789 are 1, 7, 827, 5789
The HCF of 9360,5789 is 1.
Lets's calculate GCF of 9360,5789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9360,5789 By Matching Biggest Common Factor Method
Now, list down the factors of 9360
:1,2,3,4,5,6,8,9,10,12,13,15,16,18,20,24,26,30,36,39,40,45,48,52,60,65,72,78,80,90,104,117,120,130,144,156,180,195,208,234,240,260,312,360,390,468,520,585,624,720,780,936,1040,1170,1560,1872,2340,3120,4680,9360
Now, list down the factors of 5789
:1,7,827,5789
Greatest Common Factor
We found the factors 9360,5789 . The biggest common factor number is the GCF number.
So the greatest common factor 9360,5789 is 1.
Lets's calculate LCM of 408,9985
Given numbers has no common factors except 1. So, there LCM is their product i.e 4073880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4073880
Therefore, the GCF of Fractions 9360/408,5789/9985 is 1/4073880
Least Common Multiple of 408,9985 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 408,9985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,9985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(408,9985) x common factors =1 x 1 = 1
LCM(408,9985) = ( 408 × 9985 ) / 1
LCM(408,9985) = 4073880 / 1
LCM(408,9985) = 4073880
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FAQs on GCF of Fractions of 9360/408, 5789/9985
1. What is the HCF of 9360,5789?
The HCF of 9360,5789 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 9360/408, 5789/9985?
Answer: GCF of Numerators as per given numbers 9360/408, 5789/9985 is
GCF of Numerators i.e. for 9360,5789 is 1
LCM of denominators i.e. for 408,9985 is 4073880.
Thus, GCF of Fractions is 1/4073880.Finally, GCF of Fractions for 9360/408, 5789/9985 is 1/4073880.