GCF of 918/433, 6648/433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 918/433, 6648/433 i.e 6/433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 918/433, 6648/433.
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 918/433,6648/433?
Given fractions are 918/433,6648/433
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 918/433,6648/433, numerators are 918,6648
Denominators are 433,433
The GCF of 918,6648 is 6 .
LCM of 433,433 is 433.
The greatest common factor of 918/433,6648/433 = [GCF of 918,6648]/[LCM of 433,433]= 6/433
Therefore, the GCF of 918/433,6648/433 is 6/433.
To find the highest common factor of 918,6648, 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 6648 are 1, 2, 3, 4, 6, 8, 12, 24, 277, 554, 831, 1108, 1662, 2216, 3324, 6648
The HCF of 918,6648 is 6.
Lets's calculate GCF of 918,6648
| 2 | 918, 6648 |
| 3 | 459, 3324 |
| 153, 1108 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 918,6648 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 6648
:1,2,3,4,6,8,12,24,277,554,831,1108,1662,2216,3324,6648
Greatest Common Factor
We found the factors 918,6648 . The biggest common factor number is the GCF number.
So the greatest common factor 918,6648 is 6.
Lets's calculate LCM of 433,433
| 433 | 433, 433 |
| 1, 1 |
∴ So the LCM of the given numbers is 433 x 1 x 1 = 433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/433
Therefore, the GCF of Fractions 918/433,6648/433 is 6/433
Least Common Multiple of 433,433 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 433,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,433) = 433
common factors(in case of two or more numbers have common factors) = 1
GCF(433,433) x common factors =433 x 1 = 433
LCM(433,433) = ( 433 × 433 ) / 433
LCM(433,433) = 187489 / 433
LCM(433,433) = 433
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FAQs on GCF of Fractions of 918/433, 6648/433
1. What is the HCF of 918,6648?
The HCF of 918,6648 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 918/433, 6648/433?
Answer: GCF of Numerators as per given numbers 918/433, 6648/433 is
GCF of Numerators i.e. for 918,6648 is 6
LCM of denominators i.e. for 433,433 is 433.
Thus, GCF of Fractions is 6/433.Finally, GCF of Fractions for 918/433, 6648/433 is 6/433.