GCF of 918/78, 306/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 918/78, 306/286 i.e 306/858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 918/78, 306/286.
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 918/78,306/286?
Given fractions are 918/78,306/286
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 918/78,306/286, numerators are 918,306
Denominators are 78,286
The GCF of 918,306 is 306 .
LCM of 78,286 is 858.
The greatest common factor of 918/78,306/286 = [GCF of 918,306]/[LCM of 78,286]= 306/858
Therefore, the GCF of 918/78,306/286 is 306/858.
To find the highest common factor of 918,306, we have to find the factors of both numbers and list the highest common factor.
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
The HCF of 918,306 is 306.
Lets's calculate GCF of 918,306
| 2 | 918, 306 |
| 3 | 459, 153 |
| 3 | 51, 153 |
| 17 | 17, 51 |
| 1, 3 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 17 = 306
Greatest Common Factor of 918,306 By Matching Biggest Common Factor Method
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Now, list down the factors of 306
:1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 918,306 . The biggest common factor number is the GCF number.
So the greatest common factor 918,306 is 306.
Lets's calculate LCM of 78,286
| 2 | 78, 286 |
| 13 | 39, 143 |
| 3, 11 |
∴ So the LCM of the given numbers is 2 x 13 x 3 x 11 = 858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 306/858
Therefore, the GCF of Fractions 918/78,306/286 is 306/858
Least Common Multiple of 78,286 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 78,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,286) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(78,286) x common factors =26 x 1 = 26
LCM(78,286) = ( 78 × 286 ) / 26
LCM(78,286) = 22308 / 26
LCM(78,286) = 858
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FAQs on GCF of Fractions of 918/78, 306/286
1. What is the HCF of 918,306?
The HCF of 918,306 is 306
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 918/78, 306/286?
Answer: GCF of Numerators as per given numbers 918/78, 306/286 is
GCF of Numerators i.e. for 918,306 is 306
LCM of denominators i.e. for 78,286 is 858.
Thus, GCF of Fractions is 306/858.Finally, GCF of Fractions for 918/78, 306/286 is 306/858.