GCF of 8226/384, 1992/5740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8226/384, 1992/5740 i.e 6/551040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8226/384, 1992/5740.
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 8226/384,1992/5740?
Given fractions are 8226/384,1992/5740
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 8226/384,1992/5740, numerators are 8226,1992
Denominators are 384,5740
The GCF of 8226,1992 is 6 .
LCM of 384,5740 is 551040.
The greatest common factor of 8226/384,1992/5740 = [GCF of 8226,1992]/[LCM of 384,5740]= 6/551040
Therefore, the GCF of 8226/384,1992/5740 is 6/551040.
To find the highest common factor of 8226,1992, we have to find the factors of both numbers and list the highest common factor.
The factors of 8226 are 1, 2, 3, 6, 9, 18, 457, 914, 1371, 2742, 4113, 8226
The factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992
The HCF of 8226,1992 is 6.
Lets's calculate GCF of 8226,1992
| 2 | 8226, 1992 |
| 3 | 4113, 996 |
| 1371, 332 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8226,1992 By Matching Biggest Common Factor Method
Now, list down the factors of 8226
:1,2,3,6,9,18,457,914,1371,2742,4113,8226
Now, list down the factors of 1992
:1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992
Greatest Common Factor
We found the factors 8226,1992 . The biggest common factor number is the GCF number.
So the greatest common factor 8226,1992 is 6.
Lets's calculate LCM of 384,5740
| 2 | 384, 5740 |
| 2 | 192, 2870 |
| 96, 1435 |
∴ So the LCM of the given numbers is 2 x 2 x 96 x 1435 = 551040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/551040
Therefore, the GCF of Fractions 8226/384,1992/5740 is 6/551040
Least Common Multiple of 384,5740 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 384,5740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,5740) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(384,5740) x common factors =4 x 1 = 4
LCM(384,5740) = ( 384 × 5740 ) / 4
LCM(384,5740) = 2204160 / 4
LCM(384,5740) = 551040
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FAQs on GCF of Fractions of 8226/384, 1992/5740
1. What is the HCF of 8226,1992?
The HCF of 8226,1992 is 6
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 8226/384, 1992/5740?
Answer: GCF of Numerators as per given numbers 8226/384, 1992/5740 is
GCF of Numerators i.e. for 8226,1992 is 6
LCM of denominators i.e. for 384,5740 is 551040.
Thus, GCF of Fractions is 6/551040.Finally, GCF of Fractions for 8226/384, 1992/5740 is 6/551040.