GCF of 8042/323, 5762/1293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8042/323, 5762/1293 i.e 2/417639 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8042/323, 5762/1293.
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 8042/323,5762/1293?
Given fractions are 8042/323,5762/1293
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 8042/323,5762/1293, numerators are 8042,5762
Denominators are 323,1293
The GCF of 8042,5762 is 2 .
LCM of 323,1293 is 417639.
The greatest common factor of 8042/323,5762/1293 = [GCF of 8042,5762]/[LCM of 323,1293]= 2/417639
Therefore, the GCF of 8042/323,5762/1293 is 2/417639.
To find the highest common factor of 8042,5762, we have to find the factors of both numbers and list the highest common factor.
The factors of 8042 are 1, 2, 4021, 8042
The factors of 5762 are 1, 2, 43, 67, 86, 134, 2881, 5762
The HCF of 8042,5762 is 2.
Lets's calculate GCF of 8042,5762
| 2 | 8042, 5762 |
| 4021, 2881 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8042,5762 By Matching Biggest Common Factor Method
Now, list down the factors of 8042
:1,2,4021,8042
Now, list down the factors of 5762
:1,2,43,67,86,134,2881,5762
Greatest Common Factor
We found the factors 8042,5762 . The biggest common factor number is the GCF number.
So the greatest common factor 8042,5762 is 2.
Lets's calculate LCM of 323,1293
Given numbers has no common factors except 1. So, there LCM is their product i.e 417639
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/417639
Therefore, the GCF of Fractions 8042/323,5762/1293 is 2/417639
Least Common Multiple of 323,1293 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 323,1293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,1293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,1293) x common factors =1 x 1 = 1
LCM(323,1293) = ( 323 × 1293 ) / 1
LCM(323,1293) = 417639 / 1
LCM(323,1293) = 417639
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FAQs on GCF of Fractions of 8042/323, 5762/1293
1. What is the HCF of 8042,5762?
The HCF of 8042,5762 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 8042/323, 5762/1293?
Answer: GCF of Numerators as per given numbers 8042/323, 5762/1293 is
GCF of Numerators i.e. for 8042,5762 is 2
LCM of denominators i.e. for 323,1293 is 417639.
Thus, GCF of Fractions is 2/417639.Finally, GCF of Fractions for 8042/323, 5762/1293 is 2/417639.