GCF of 9078/575, 3186/8993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9078/575, 3186/8993 i.e 6/224825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9078/575, 3186/8993.
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 9078/575,3186/8993?
Given fractions are 9078/575,3186/8993
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 9078/575,3186/8993, numerators are 9078,3186
Denominators are 575,8993
The GCF of 9078,3186 is 6 .
LCM of 575,8993 is 224825.
The greatest common factor of 9078/575,3186/8993 = [GCF of 9078,3186]/[LCM of 575,8993]= 6/224825
Therefore, the GCF of 9078/575,3186/8993 is 6/224825.
To find the highest common factor of 9078,3186, we have to find the factors of both numbers and list the highest common factor.
The factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078
The factors of 3186 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186
The HCF of 9078,3186 is 6.
Lets's calculate GCF of 9078,3186
| 2 | 9078, 3186 |
| 3 | 4539, 1593 |
| 1513, 531 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9078,3186 By Matching Biggest Common Factor Method
Now, list down the factors of 9078
:1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078
Now, list down the factors of 3186
:1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186
Greatest Common Factor
We found the factors 9078,3186 . The biggest common factor number is the GCF number.
So the greatest common factor 9078,3186 is 6.
Lets's calculate LCM of 575,8993
| 23 | 575, 8993 |
| 25, 391 |
∴ So the LCM of the given numbers is 23 x 25 x 391 = 224825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/224825
Therefore, the GCF of Fractions 9078/575,3186/8993 is 6/224825
Least Common Multiple of 575,8993 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 575,8993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,8993) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(575,8993) x common factors =23 x 1 = 23
LCM(575,8993) = ( 575 × 8993 ) / 23
LCM(575,8993) = 5170975 / 23
LCM(575,8993) = 224825
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FAQs on GCF of Fractions of 9078/575, 3186/8993
1. What is the HCF of 9078,3186?
The HCF of 9078,3186 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 9078/575, 3186/8993?
Answer: GCF of Numerators as per given numbers 9078/575, 3186/8993 is
GCF of Numerators i.e. for 9078,3186 is 6
LCM of denominators i.e. for 575,8993 is 224825.
Thus, GCF of Fractions is 6/224825.Finally, GCF of Fractions for 9078/575, 3186/8993 is 6/224825.