GCF of 1344/229, 8281/6765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1344/229, 8281/6765 i.e 7/1549185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1344/229, 8281/6765.
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 1344/229,8281/6765?
Given fractions are 1344/229,8281/6765
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 1344/229,8281/6765, numerators are 1344,8281
Denominators are 229,6765
The GCF of 1344,8281 is 7 .
LCM of 229,6765 is 1549185.
The greatest common factor of 1344/229,8281/6765 = [GCF of 1344,8281]/[LCM of 229,6765]= 7/1549185
Therefore, the GCF of 1344/229,8281/6765 is 7/1549185.
To find the highest common factor of 1344,8281, 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 8281 are 1, 7, 13, 49, 91, 169, 637, 1183, 8281
The HCF of 1344,8281 is 7.
Lets's calculate GCF of 1344,8281
| 7 | 1344, 8281 |
| 192, 1183 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1344,8281 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 8281
:1,7,13,49,91,169,637,1183,8281
Greatest Common Factor
We found the factors 1344,8281 . The biggest common factor number is the GCF number.
So the greatest common factor 1344,8281 is 7.
Lets's calculate LCM of 229,6765
Given numbers has no common factors except 1. So, there LCM is their product i.e 1549185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1549185
Therefore, the GCF of Fractions 1344/229,8281/6765 is 7/1549185
Least Common Multiple of 229,6765 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 229,6765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,6765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,6765) x common factors =1 x 1 = 1
LCM(229,6765) = ( 229 × 6765 ) / 1
LCM(229,6765) = 1549185 / 1
LCM(229,6765) = 1549185
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FAQs on GCF of Fractions of 1344/229, 8281/6765
1. What is the HCF of 1344,8281?
The HCF of 1344,8281 is 7
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 1344/229, 8281/6765?
Answer: GCF of Numerators as per given numbers 1344/229, 8281/6765 is
GCF of Numerators i.e. for 1344,8281 is 7
LCM of denominators i.e. for 229,6765 is 1549185.
Thus, GCF of Fractions is 7/1549185.Finally, GCF of Fractions for 1344/229, 8281/6765 is 7/1549185.