GCF of 8398/346, 4234/2463
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8398/346, 4234/2463 i.e 2/852198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8398/346, 4234/2463.
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 8398/346,4234/2463?
Given fractions are 8398/346,4234/2463
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 8398/346,4234/2463, numerators are 8398,4234
Denominators are 346,2463
The GCF of 8398,4234 is 2 .
LCM of 346,2463 is 852198.
The greatest common factor of 8398/346,4234/2463 = [GCF of 8398,4234]/[LCM of 346,2463]= 2/852198
Therefore, the GCF of 8398/346,4234/2463 is 2/852198.
To find the highest common factor of 8398,4234, we have to find the factors of both numbers and list the highest common factor.
The factors of 8398 are 1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398
The factors of 4234 are 1, 2, 29, 58, 73, 146, 2117, 4234
The HCF of 8398,4234 is 2.
Lets's calculate GCF of 8398,4234
| 2 | 8398, 4234 |
| 4199, 2117 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8398,4234 By Matching Biggest Common Factor Method
Now, list down the factors of 8398
:1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398
Now, list down the factors of 4234
:1,2,29,58,73,146,2117,4234
Greatest Common Factor
We found the factors 8398,4234 . The biggest common factor number is the GCF number.
So the greatest common factor 8398,4234 is 2.
Lets's calculate LCM of 346,2463
Given numbers has no common factors except 1. So, there LCM is their product i.e 852198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/852198
Therefore, the GCF of Fractions 8398/346,4234/2463 is 2/852198
Least Common Multiple of 346,2463 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 346,2463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,2463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,2463) x common factors =1 x 1 = 1
LCM(346,2463) = ( 346 × 2463 ) / 1
LCM(346,2463) = 852198 / 1
LCM(346,2463) = 852198
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FAQs on GCF of Fractions of 8398/346, 4234/2463
1. What is the HCF of 8398,4234?
The HCF of 8398,4234 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 8398/346, 4234/2463?
Answer: GCF of Numerators as per given numbers 8398/346, 4234/2463 is
GCF of Numerators i.e. for 8398,4234 is 2
LCM of denominators i.e. for 346,2463 is 852198.
Thus, GCF of Fractions is 2/852198.Finally, GCF of Fractions for 8398/346, 4234/2463 is 2/852198.