GCF of 3171/684, 2830/9932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3171/684, 2830/9932 i.e 1/1698372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3171/684, 2830/9932.
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 3171/684,2830/9932?
Given fractions are 3171/684,2830/9932
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 3171/684,2830/9932, numerators are 3171,2830
Denominators are 684,9932
The GCF of 3171,2830 is 1 .
LCM of 684,9932 is 1698372.
The greatest common factor of 3171/684,2830/9932 = [GCF of 3171,2830]/[LCM of 684,9932]= 1/1698372
Therefore, the GCF of 3171/684,2830/9932 is 1/1698372.
To find the highest common factor of 3171,2830, we have to find the factors of both numbers and list the highest common factor.
The factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171
The factors of 2830 are 1, 2, 5, 10, 283, 566, 1415, 2830
The HCF of 3171,2830 is 1.
Lets's calculate GCF of 3171,2830
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3171,2830 By Matching Biggest Common Factor Method
Now, list down the factors of 3171
:1,3,7,21,151,453,1057,3171
Now, list down the factors of 2830
:1,2,5,10,283,566,1415,2830
Greatest Common Factor
We found the factors 3171,2830 . The biggest common factor number is the GCF number.
So the greatest common factor 3171,2830 is 1.
Lets's calculate LCM of 684,9932
| 2 | 684, 9932 |
| 2 | 342, 4966 |
| 171, 2483 |
∴ So the LCM of the given numbers is 2 x 2 x 171 x 2483 = 1698372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1698372
Therefore, the GCF of Fractions 3171/684,2830/9932 is 1/1698372
Least Common Multiple of 684,9932 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 684,9932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,9932) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(684,9932) x common factors =4 x 1 = 4
LCM(684,9932) = ( 684 × 9932 ) / 4
LCM(684,9932) = 6793488 / 4
LCM(684,9932) = 1698372
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FAQs on GCF of Fractions of 3171/684, 2830/9932
1. What is the HCF of 3171,2830?
The HCF of 3171,2830 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 3171/684, 2830/9932?
Answer: GCF of Numerators as per given numbers 3171/684, 2830/9932 is
GCF of Numerators i.e. for 3171,2830 is 1
LCM of denominators i.e. for 684,9932 is 1698372.
Thus, GCF of Fractions is 1/1698372.Finally, GCF of Fractions for 3171/684, 2830/9932 is 1/1698372.