GCF of 8402/843, 5138/5473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8402/843, 5138/5473 i.e 2/4613739 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8402/843, 5138/5473.
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 8402/843,5138/5473?
Given fractions are 8402/843,5138/5473
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 8402/843,5138/5473, numerators are 8402,5138
Denominators are 843,5473
The GCF of 8402,5138 is 2 .
LCM of 843,5473 is 4613739.
The greatest common factor of 8402/843,5138/5473 = [GCF of 8402,5138]/[LCM of 843,5473]= 2/4613739
Therefore, the GCF of 8402/843,5138/5473 is 2/4613739.
To find the highest common factor of 8402,5138, we have to find the factors of both numbers and list the highest common factor.
The factors of 8402 are 1, 2, 4201, 8402
The factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138
The HCF of 8402,5138 is 2.
Lets's calculate GCF of 8402,5138
| 2 | 8402, 5138 |
| 4201, 2569 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8402,5138 By Matching Biggest Common Factor Method
Now, list down the factors of 8402
:1,2,4201,8402
Now, list down the factors of 5138
:1,2,7,14,367,734,2569,5138
Greatest Common Factor
We found the factors 8402,5138 . The biggest common factor number is the GCF number.
So the greatest common factor 8402,5138 is 2.
Lets's calculate LCM of 843,5473
Given numbers has no common factors except 1. So, there LCM is their product i.e 4613739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4613739
Therefore, the GCF of Fractions 8402/843,5138/5473 is 2/4613739
Least Common Multiple of 843,5473 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 843,5473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,5473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,5473) x common factors =1 x 1 = 1
LCM(843,5473) = ( 843 × 5473 ) / 1
LCM(843,5473) = 4613739 / 1
LCM(843,5473) = 4613739
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FAQs on GCF of Fractions of 8402/843, 5138/5473
1. What is the HCF of 8402,5138?
The HCF of 8402,5138 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 8402/843, 5138/5473?
Answer: GCF of Numerators as per given numbers 8402/843, 5138/5473 is
GCF of Numerators i.e. for 8402,5138 is 2
LCM of denominators i.e. for 843,5473 is 4613739.
Thus, GCF of Fractions is 2/4613739.Finally, GCF of Fractions for 8402/843, 5138/5473 is 2/4613739.