GCF of 8571/130, 9324/8006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8571/130, 9324/8006 i.e 3/520390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8571/130, 9324/8006.
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 8571/130,9324/8006?
Given fractions are 8571/130,9324/8006
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 8571/130,9324/8006, numerators are 8571,9324
Denominators are 130,8006
The GCF of 8571,9324 is 3 .
LCM of 130,8006 is 520390.
The greatest common factor of 8571/130,9324/8006 = [GCF of 8571,9324]/[LCM of 130,8006]= 3/520390
Therefore, the GCF of 8571/130,9324/8006 is 3/520390.
To find the highest common factor of 8571,9324, we have to find the factors of both numbers and list the highest common factor.
The factors of 8571 are 1, 3, 2857, 8571
The factors of 9324 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662, 9324
The HCF of 8571,9324 is 3.
Lets's calculate GCF of 8571,9324
| 3 | 8571, 9324 |
| 2857, 3108 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8571,9324 By Matching Biggest Common Factor Method
Now, list down the factors of 8571
:1,3,2857,8571
Now, list down the factors of 9324
:1,2,3,4,6,7,9,12,14,18,21,28,36,37,42,63,74,84,111,126,148,222,252,259,333,444,518,666,777,1036,1332,1554,2331,3108,4662,9324
Greatest Common Factor
We found the factors 8571,9324 . The biggest common factor number is the GCF number.
So the greatest common factor 8571,9324 is 3.
Lets's calculate LCM of 130,8006
| 2 | 130, 8006 |
| 65, 4003 |
∴ So the LCM of the given numbers is 2 x 65 x 4003 = 520390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/520390
Therefore, the GCF of Fractions 8571/130,9324/8006 is 3/520390
Least Common Multiple of 130,8006 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 130,8006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,8006) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,8006) x common factors =2 x 1 = 2
LCM(130,8006) = ( 130 × 8006 ) / 2
LCM(130,8006) = 1040780 / 2
LCM(130,8006) = 520390
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FAQs on GCF of Fractions of 8571/130, 9324/8006
1. What is the HCF of 8571,9324?
The HCF of 8571,9324 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 8571/130, 9324/8006?
Answer: GCF of Numerators as per given numbers 8571/130, 9324/8006 is
GCF of Numerators i.e. for 8571,9324 is 3
LCM of denominators i.e. for 130,8006 is 520390.
Thus, GCF of Fractions is 3/520390.Finally, GCF of Fractions for 8571/130, 9324/8006 is 3/520390.