GCF of 7560/361, 8579/9302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7560/361, 8579/9302 i.e 1/3358022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7560/361, 8579/9302.
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 7560/361,8579/9302?
Given fractions are 7560/361,8579/9302
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 7560/361,8579/9302, numerators are 7560,8579
Denominators are 361,9302
The GCF of 7560,8579 is 1 .
LCM of 361,9302 is 3358022.
The greatest common factor of 7560/361,8579/9302 = [GCF of 7560,8579]/[LCM of 361,9302]= 1/3358022
Therefore, the GCF of 7560/361,8579/9302 is 1/3358022.
To find the highest common factor of 7560,8579, we have to find the factors of both numbers and list the highest common factor.
The factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560
The factors of 8579 are 1, 23, 373, 8579
The HCF of 7560,8579 is 1.
Lets's calculate GCF of 7560,8579
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7560,8579 By Matching Biggest Common Factor Method
Now, list down the factors of 7560
:1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,27,28,30,35,36,40,42,45,54,56,60,63,70,72,84,90,105,108,120,126,135,140,168,180,189,210,216,252,270,280,315,360,378,420,504,540,630,756,840,945,1080,1260,1512,1890,2520,3780,7560
Now, list down the factors of 8579
:1,23,373,8579
Greatest Common Factor
We found the factors 7560,8579 . The biggest common factor number is the GCF number.
So the greatest common factor 7560,8579 is 1.
Lets's calculate LCM of 361,9302
Given numbers has no common factors except 1. So, there LCM is their product i.e 3358022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3358022
Therefore, the GCF of Fractions 7560/361,8579/9302 is 1/3358022
Least Common Multiple of 361,9302 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 361,9302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,9302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,9302) x common factors =1 x 1 = 1
LCM(361,9302) = ( 361 × 9302 ) / 1
LCM(361,9302) = 3358022 / 1
LCM(361,9302) = 3358022
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FAQs on GCF of Fractions of 7560/361, 8579/9302
1. What is the HCF of 7560,8579?
The HCF of 7560,8579 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 7560/361, 8579/9302?
Answer: GCF of Numerators as per given numbers 7560/361, 8579/9302 is
GCF of Numerators i.e. for 7560,8579 is 1
LCM of denominators i.e. for 361,9302 is 3358022.
Thus, GCF of Fractions is 1/3358022.Finally, GCF of Fractions for 7560/361, 8579/9302 is 1/3358022.