GCF of 9366/564, 8370/9302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9366/564, 8370/9302 i.e 6/2623164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9366/564, 8370/9302.
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 9366/564,8370/9302?
Given fractions are 9366/564,8370/9302
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 9366/564,8370/9302, numerators are 9366,8370
Denominators are 564,9302
The GCF of 9366,8370 is 6 .
LCM of 564,9302 is 2623164.
The greatest common factor of 9366/564,8370/9302 = [GCF of 9366,8370]/[LCM of 564,9302]= 6/2623164
Therefore, the GCF of 9366/564,8370/9302 is 6/2623164.
To find the highest common factor of 9366,8370, we have to find the factors of both numbers and list the highest common factor.
The factors of 9366 are 1, 2, 3, 6, 7, 14, 21, 42, 223, 446, 669, 1338, 1561, 3122, 4683, 9366
The factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370
The HCF of 9366,8370 is 6.
Lets's calculate GCF of 9366,8370
| 2 | 9366, 8370 |
| 3 | 4683, 4185 |
| 1561, 1395 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9366,8370 By Matching Biggest Common Factor Method
Now, list down the factors of 9366
:1,2,3,6,7,14,21,42,223,446,669,1338,1561,3122,4683,9366
Now, list down the factors of 8370
:1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370
Greatest Common Factor
We found the factors 9366,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 9366,8370 is 6.
Lets's calculate LCM of 564,9302
| 2 | 564, 9302 |
| 282, 4651 |
∴ So the LCM of the given numbers is 2 x 282 x 4651 = 2623164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2623164
Therefore, the GCF of Fractions 9366/564,8370/9302 is 6/2623164
Least Common Multiple of 564,9302 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 564,9302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,9302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,9302) x common factors =2 x 1 = 2
LCM(564,9302) = ( 564 × 9302 ) / 2
LCM(564,9302) = 5246328 / 2
LCM(564,9302) = 2623164
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FAQs on GCF of Fractions of 9366/564, 8370/9302
1. What is the HCF of 9366,8370?
The HCF of 9366,8370 is 6
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 9366/564, 8370/9302?
Answer: GCF of Numerators as per given numbers 9366/564, 8370/9302 is
GCF of Numerators i.e. for 9366,8370 is 6
LCM of denominators i.e. for 564,9302 is 2623164.
Thus, GCF of Fractions is 6/2623164.Finally, GCF of Fractions for 9366/564, 8370/9302 is 6/2623164.