GCF of 3398/460, 8427/4286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3398/460, 8427/4286 i.e 1/985780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3398/460, 8427/4286.
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 3398/460,8427/4286?
Given fractions are 3398/460,8427/4286
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 3398/460,8427/4286, numerators are 3398,8427
Denominators are 460,4286
The GCF of 3398,8427 is 1 .
LCM of 460,4286 is 985780.
The greatest common factor of 3398/460,8427/4286 = [GCF of 3398,8427]/[LCM of 460,4286]= 1/985780
Therefore, the GCF of 3398/460,8427/4286 is 1/985780.
To find the highest common factor of 3398,8427, we have to find the factors of both numbers and list the highest common factor.
The factors of 3398 are 1, 2, 1699, 3398
The factors of 8427 are 1, 3, 53, 159, 2809, 8427
The HCF of 3398,8427 is 1.
Lets's calculate GCF of 3398,8427
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3398,8427 By Matching Biggest Common Factor Method
Now, list down the factors of 3398
:1,2,1699,3398
Now, list down the factors of 8427
:1,3,53,159,2809,8427
Greatest Common Factor
We found the factors 3398,8427 . The biggest common factor number is the GCF number.
So the greatest common factor 3398,8427 is 1.
Lets's calculate LCM of 460,4286
| 2 | 460, 4286 |
| 230, 2143 |
∴ So the LCM of the given numbers is 2 x 230 x 2143 = 985780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/985780
Therefore, the GCF of Fractions 3398/460,8427/4286 is 1/985780
Least Common Multiple of 460,4286 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 460,4286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,4286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(460,4286) x common factors =2 x 1 = 2
LCM(460,4286) = ( 460 × 4286 ) / 2
LCM(460,4286) = 1971560 / 2
LCM(460,4286) = 985780
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FAQs on GCF of Fractions of 3398/460, 8427/4286
1. What is the HCF of 3398,8427?
The HCF of 3398,8427 is 1
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 3398/460, 8427/4286?
Answer: GCF of Numerators as per given numbers 3398/460, 8427/4286 is
GCF of Numerators i.e. for 3398,8427 is 1
LCM of denominators i.e. for 460,4286 is 985780.
Thus, GCF of Fractions is 1/985780.Finally, GCF of Fractions for 3398/460, 8427/4286 is 1/985780.