GCF of 2304/868, 1854/6734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2304/868, 1854/6734 i.e 18/417508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2304/868, 1854/6734.
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 2304/868,1854/6734?
Given fractions are 2304/868,1854/6734
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 2304/868,1854/6734, numerators are 2304,1854
Denominators are 868,6734
The GCF of 2304,1854 is 18 .
LCM of 868,6734 is 417508.
The greatest common factor of 2304/868,1854/6734 = [GCF of 2304,1854]/[LCM of 868,6734]= 18/417508
Therefore, the GCF of 2304/868,1854/6734 is 18/417508.
To find the highest common factor of 2304,1854, we have to find the factors of both numbers and list the highest common factor.
The factors of 2304 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304
The factors of 1854 are 1, 2, 3, 6, 9, 18, 103, 206, 309, 618, 927, 1854
The HCF of 2304,1854 is 18.
Lets's calculate GCF of 2304,1854
| 2 | 2304, 1854 |
| 3 | 1152, 927 |
| 3 | 384, 309 |
| 128, 103 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 2304,1854 By Matching Biggest Common Factor Method
Now, list down the factors of 2304
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,576,768,1152,2304
Now, list down the factors of 1854
:1,2,3,6,9,18,103,206,309,618,927,1854
Greatest Common Factor
We found the factors 2304,1854 . The biggest common factor number is the GCF number.
So the greatest common factor 2304,1854 is 18.
Lets's calculate LCM of 868,6734
| 2 | 868, 6734 |
| 7 | 434, 3367 |
| 62, 481 |
∴ So the LCM of the given numbers is 2 x 7 x 62 x 481 = 417508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/417508
Therefore, the GCF of Fractions 2304/868,1854/6734 is 18/417508
Least Common Multiple of 868,6734 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 868,6734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,6734) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(868,6734) x common factors =14 x 1 = 14
LCM(868,6734) = ( 868 × 6734 ) / 14
LCM(868,6734) = 5845112 / 14
LCM(868,6734) = 417508
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FAQs on GCF of Fractions of 2304/868, 1854/6734
1. What is the HCF of 2304,1854?
The HCF of 2304,1854 is 18
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 2304/868, 1854/6734?
Answer: GCF of Numerators as per given numbers 2304/868, 1854/6734 is
GCF of Numerators i.e. for 2304,1854 is 18
LCM of denominators i.e. for 868,6734 is 417508.
Thus, GCF of Fractions is 18/417508.Finally, GCF of Fractions for 2304/868, 1854/6734 is 18/417508.