GCF of 6431/334, 3974/3182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6431/334, 3974/3182 i.e 1/531394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6431/334, 3974/3182.
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 6431/334,3974/3182?
Given fractions are 6431/334,3974/3182
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 6431/334,3974/3182, numerators are 6431,3974
Denominators are 334,3182
The GCF of 6431,3974 is 1 .
LCM of 334,3182 is 531394.
The greatest common factor of 6431/334,3974/3182 = [GCF of 6431,3974]/[LCM of 334,3182]= 1/531394
Therefore, the GCF of 6431/334,3974/3182 is 1/531394.
To find the highest common factor of 6431,3974, we have to find the factors of both numbers and list the highest common factor.
The factors of 6431 are 1, 59, 109, 6431
The factors of 3974 are 1, 2, 1987, 3974
The HCF of 6431,3974 is 1.
Lets's calculate GCF of 6431,3974
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6431,3974 By Matching Biggest Common Factor Method
Now, list down the factors of 6431
:1,59,109,6431
Now, list down the factors of 3974
:1,2,1987,3974
Greatest Common Factor
We found the factors 6431,3974 . The biggest common factor number is the GCF number.
So the greatest common factor 6431,3974 is 1.
Lets's calculate LCM of 334,3182
| 2 | 334, 3182 |
| 167, 1591 |
∴ So the LCM of the given numbers is 2 x 167 x 1591 = 531394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/531394
Therefore, the GCF of Fractions 6431/334,3974/3182 is 1/531394
Least Common Multiple of 334,3182 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 334,3182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,3182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,3182) x common factors =2 x 1 = 2
LCM(334,3182) = ( 334 × 3182 ) / 2
LCM(334,3182) = 1062788 / 2
LCM(334,3182) = 531394
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FAQs on GCF of Fractions of 6431/334, 3974/3182
1. What is the HCF of 6431,3974?
The HCF of 6431,3974 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 6431/334, 3974/3182?
Answer: GCF of Numerators as per given numbers 6431/334, 3974/3182 is
GCF of Numerators i.e. for 6431,3974 is 1
LCM of denominators i.e. for 334,3182 is 531394.
Thus, GCF of Fractions is 1/531394.Finally, GCF of Fractions for 6431/334, 3974/3182 is 1/531394.