GCF of 6344/768, 2730/9924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6344/768, 2730/9924 i.e 26/635136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6344/768, 2730/9924.
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 6344/768,2730/9924?
Given fractions are 6344/768,2730/9924
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 6344/768,2730/9924, numerators are 6344,2730
Denominators are 768,9924
The GCF of 6344,2730 is 26 .
LCM of 768,9924 is 635136.
The greatest common factor of 6344/768,2730/9924 = [GCF of 6344,2730]/[LCM of 768,9924]= 26/635136
Therefore, the GCF of 6344/768,2730/9924 is 26/635136.
To find the highest common factor of 6344,2730, we have to find the factors of both numbers and list the highest common factor.
The factors of 6344 are 1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 244, 488, 793, 1586, 3172, 6344
The factors of 2730 are 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730
The HCF of 6344,2730 is 26.
Lets's calculate GCF of 6344,2730
| 2 | 6344, 2730 |
| 13 | 3172, 1365 |
| 244, 105 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 6344,2730 By Matching Biggest Common Factor Method
Now, list down the factors of 6344
:1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344
Now, list down the factors of 2730
:1,2,3,5,6,7,10,13,14,15,21,26,30,35,39,42,65,70,78,91,105,130,182,195,210,273,390,455,546,910,1365,2730
Greatest Common Factor
We found the factors 6344,2730 . The biggest common factor number is the GCF number.
So the greatest common factor 6344,2730 is 26.
Lets's calculate LCM of 768,9924
| 2 | 768, 9924 |
| 2 | 384, 4962 |
| 3 | 192, 2481 |
| 64, 827 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 64 x 827 = 635136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/635136
Therefore, the GCF of Fractions 6344/768,2730/9924 is 26/635136
Least Common Multiple of 768,9924 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 768,9924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,9924) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(768,9924) x common factors =12 x 1 = 12
LCM(768,9924) = ( 768 × 9924 ) / 12
LCM(768,9924) = 7621632 / 12
LCM(768,9924) = 635136
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FAQs on GCF of Fractions of 6344/768, 2730/9924
1. What is the HCF of 6344,2730?
The HCF of 6344,2730 is 26
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 6344/768, 2730/9924?
Answer: GCF of Numerators as per given numbers 6344/768, 2730/9924 is
GCF of Numerators i.e. for 6344,2730 is 26
LCM of denominators i.e. for 768,9924 is 635136.
Thus, GCF of Fractions is 26/635136.Finally, GCF of Fractions for 6344/768, 2730/9924 is 26/635136.