GCF of 9138/240, 9588/1308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9138/240, 9588/1308 i.e 6/26160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9138/240, 9588/1308.
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 9138/240,9588/1308?
Given fractions are 9138/240,9588/1308
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 9138/240,9588/1308, numerators are 9138,9588
Denominators are 240,1308
The GCF of 9138,9588 is 6 .
LCM of 240,1308 is 26160.
The greatest common factor of 9138/240,9588/1308 = [GCF of 9138,9588]/[LCM of 240,1308]= 6/26160
Therefore, the GCF of 9138/240,9588/1308 is 6/26160.
To find the highest common factor of 9138,9588, we have to find the factors of both numbers and list the highest common factor.
The factors of 9138 are 1, 2, 3, 6, 1523, 3046, 4569, 9138
The factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588
The HCF of 9138,9588 is 6.
Lets's calculate GCF of 9138,9588
| 2 | 9138, 9588 |
| 3 | 4569, 4794 |
| 1523, 1598 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9138,9588 By Matching Biggest Common Factor Method
Now, list down the factors of 9138
:1,2,3,6,1523,3046,4569,9138
Now, list down the factors of 9588
:1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588
Greatest Common Factor
We found the factors 9138,9588 . The biggest common factor number is the GCF number.
So the greatest common factor 9138,9588 is 6.
Lets's calculate LCM of 240,1308
| 2 | 240, 1308 |
| 2 | 120, 654 |
| 3 | 60, 327 |
| 20, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 109 = 26160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/26160
Therefore, the GCF of Fractions 9138/240,9588/1308 is 6/26160
Least Common Multiple of 240,1308 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 240,1308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,1308) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(240,1308) x common factors =12 x 1 = 12
LCM(240,1308) = ( 240 × 1308 ) / 12
LCM(240,1308) = 313920 / 12
LCM(240,1308) = 26160
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FAQs on GCF of Fractions of 9138/240, 9588/1308
1. What is the HCF of 9138,9588?
The HCF of 9138,9588 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 9138/240, 9588/1308?
Answer: GCF of Numerators as per given numbers 9138/240, 9588/1308 is
GCF of Numerators i.e. for 9138,9588 is 6
LCM of denominators i.e. for 240,1308 is 26160.
Thus, GCF of Fractions is 6/26160.Finally, GCF of Fractions for 9138/240, 9588/1308 is 6/26160.