GCF of 1344/266, 2304/226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1344/266, 2304/226 i.e 192/30058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1344/266, 2304/226.
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 1344/266,2304/226?
Given fractions are 1344/266,2304/226
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 1344/266,2304/226, numerators are 1344,2304
Denominators are 266,226
The GCF of 1344,2304 is 192 .
LCM of 266,226 is 30058.
The greatest common factor of 1344/266,2304/226 = [GCF of 1344,2304]/[LCM of 266,226]= 192/30058
Therefore, the GCF of 1344/266,2304/226 is 192/30058.
To find the highest common factor of 1344,2304, we have to find the factors of both numbers and list the highest common factor.
The factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344
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 HCF of 1344,2304 is 192.
Lets's calculate GCF of 1344,2304
| 2 | 1344, 2304 |
| 2 | 672, 1152 |
| 2 | 336, 576 |
| 2 | 168, 288 |
| 2 | 84, 144 |
| 2 | 42, 72 |
| 3 | 21, 36 |
| 7, 12 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 = 192
Greatest Common Factor of 1344,2304 By Matching Biggest Common Factor Method
Now, list down the factors of 1344
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,168,192,224,336,448,672,1344
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
Greatest Common Factor
We found the factors 1344,2304 . The biggest common factor number is the GCF number.
So the greatest common factor 1344,2304 is 192.
Lets's calculate LCM of 266,226
| 2 | 266, 226 |
| 133, 113 |
∴ So the LCM of the given numbers is 2 x 133 x 113 = 30058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 192/30058
Therefore, the GCF of Fractions 1344/266,2304/226 is 192/30058
Least Common Multiple of 266,226 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 266,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(266,226) x common factors =2 x 1 = 2
LCM(266,226) = ( 266 × 226 ) / 2
LCM(266,226) = 60116 / 2
LCM(266,226) = 30058
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FAQs on GCF of Fractions of 1344/266, 2304/226
1. What is the HCF of 1344,2304?
The HCF of 1344,2304 is 192
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 1344/266, 2304/226?
Answer: GCF of Numerators as per given numbers 1344/266, 2304/226 is
GCF of Numerators i.e. for 1344,2304 is 192
LCM of denominators i.e. for 266,226 is 30058.
Thus, GCF of Fractions is 192/30058.Finally, GCF of Fractions for 1344/266, 2304/226 is 192/30058.