GCF of 3438/399, 7190/8344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3438/399, 7190/8344 i.e 2/475608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3438/399, 7190/8344.
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 3438/399,7190/8344?
Given fractions are 3438/399,7190/8344
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 3438/399,7190/8344, numerators are 3438,7190
Denominators are 399,8344
The GCF of 3438,7190 is 2 .
LCM of 399,8344 is 475608.
The greatest common factor of 3438/399,7190/8344 = [GCF of 3438,7190]/[LCM of 399,8344]= 2/475608
Therefore, the GCF of 3438/399,7190/8344 is 2/475608.
To find the highest common factor of 3438,7190, we have to find the factors of both numbers and list the highest common factor.
The factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438
The factors of 7190 are 1, 2, 5, 10, 719, 1438, 3595, 7190
The HCF of 3438,7190 is 2.
Lets's calculate GCF of 3438,7190
| 2 | 3438, 7190 |
| 1719, 3595 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3438,7190 By Matching Biggest Common Factor Method
Now, list down the factors of 3438
:1,2,3,6,9,18,191,382,573,1146,1719,3438
Now, list down the factors of 7190
:1,2,5,10,719,1438,3595,7190
Greatest Common Factor
We found the factors 3438,7190 . The biggest common factor number is the GCF number.
So the greatest common factor 3438,7190 is 2.
Lets's calculate LCM of 399,8344
| 7 | 399, 8344 |
| 57, 1192 |
∴ So the LCM of the given numbers is 7 x 57 x 1192 = 475608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/475608
Therefore, the GCF of Fractions 3438/399,7190/8344 is 2/475608
Least Common Multiple of 399,8344 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 399,8344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,8344) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(399,8344) x common factors =7 x 1 = 7
LCM(399,8344) = ( 399 × 8344 ) / 7
LCM(399,8344) = 3329256 / 7
LCM(399,8344) = 475608
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FAQs on GCF of Fractions of 3438/399, 7190/8344
1. What is the HCF of 3438,7190?
The HCF of 3438,7190 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 3438/399, 7190/8344?
Answer: GCF of Numerators as per given numbers 3438/399, 7190/8344 is
GCF of Numerators i.e. for 3438,7190 is 2
LCM of denominators i.e. for 399,8344 is 475608.
Thus, GCF of Fractions is 2/475608.Finally, GCF of Fractions for 3438/399, 7190/8344 is 2/475608.