GCF of 368/806, 8418/2246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 368/806, 8418/2246 i.e 46/905138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 368/806, 8418/2246.
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 368/806,8418/2246?
Given fractions are 368/806,8418/2246
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 368/806,8418/2246, numerators are 368,8418
Denominators are 806,2246
The GCF of 368,8418 is 46 .
LCM of 806,2246 is 905138.
The greatest common factor of 368/806,8418/2246 = [GCF of 368,8418]/[LCM of 806,2246]= 46/905138
Therefore, the GCF of 368/806,8418/2246 is 46/905138.
To find the highest common factor of 368,8418, we have to find the factors of both numbers and list the highest common factor.
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418
The HCF of 368,8418 is 46.
Lets's calculate GCF of 368,8418
| 2 | 368, 8418 |
| 23 | 184, 4209 |
| 8, 183 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 368,8418 By Matching Biggest Common Factor Method
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Now, list down the factors of 8418
:1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418
Greatest Common Factor
We found the factors 368,8418 . The biggest common factor number is the GCF number.
So the greatest common factor 368,8418 is 46.
Lets's calculate LCM of 806,2246
| 2 | 806, 2246 |
| 403, 1123 |
∴ So the LCM of the given numbers is 2 x 403 x 1123 = 905138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/905138
Therefore, the GCF of Fractions 368/806,8418/2246 is 46/905138
Least Common Multiple of 806,2246 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 806,2246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,2246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,2246) x common factors =2 x 1 = 2
LCM(806,2246) = ( 806 × 2246 ) / 2
LCM(806,2246) = 1810276 / 2
LCM(806,2246) = 905138
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FAQs on GCF of Fractions of 368/806, 8418/2246
1. What is the HCF of 368,8418?
The HCF of 368,8418 is 46
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 368/806, 8418/2246?
Answer: GCF of Numerators as per given numbers 368/806, 8418/2246 is
GCF of Numerators i.e. for 368,8418 is 46
LCM of denominators i.e. for 806,2246 is 905138.
Thus, GCF of Fractions is 46/905138.Finally, GCF of Fractions for 368/806, 8418/2246 is 46/905138.