GCF of 8092/428, 4122/7632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8092/428, 4122/7632 i.e 2/816624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8092/428, 4122/7632.
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 8092/428,4122/7632?
Given fractions are 8092/428,4122/7632
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 8092/428,4122/7632, numerators are 8092,4122
Denominators are 428,7632
The GCF of 8092,4122 is 2 .
LCM of 428,7632 is 816624.
The greatest common factor of 8092/428,4122/7632 = [GCF of 8092,4122]/[LCM of 428,7632]= 2/816624
Therefore, the GCF of 8092/428,4122/7632 is 2/816624.
To find the highest common factor of 8092,4122, we have to find the factors of both numbers and list the highest common factor.
The factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092
The factors of 4122 are 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122
The HCF of 8092,4122 is 2.
Lets's calculate GCF of 8092,4122
| 2 | 8092, 4122 |
| 4046, 2061 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8092,4122 By Matching Biggest Common Factor Method
Now, list down the factors of 8092
:1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092
Now, list down the factors of 4122
:1,2,3,6,9,18,229,458,687,1374,2061,4122
Greatest Common Factor
We found the factors 8092,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 8092,4122 is 2.
Lets's calculate LCM of 428,7632
| 2 | 428, 7632 |
| 2 | 214, 3816 |
| 107, 1908 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 1908 = 816624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/816624
Therefore, the GCF of Fractions 8092/428,4122/7632 is 2/816624
Least Common Multiple of 428,7632 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 428,7632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,7632) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,7632) x common factors =4 x 1 = 4
LCM(428,7632) = ( 428 × 7632 ) / 4
LCM(428,7632) = 3266496 / 4
LCM(428,7632) = 816624
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FAQs on GCF of Fractions of 8092/428, 4122/7632
1. What is the HCF of 8092,4122?
The HCF of 8092,4122 is 2
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 8092/428, 4122/7632?
Answer: GCF of Numerators as per given numbers 8092/428, 4122/7632 is
GCF of Numerators i.e. for 8092,4122 is 2
LCM of denominators i.e. for 428,7632 is 816624.
Thus, GCF of Fractions is 2/816624.Finally, GCF of Fractions for 8092/428, 4122/7632 is 2/816624.