GCF of 6832/814, 2158/6812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6832/814, 2158/6812 i.e 2/2772484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6832/814, 2158/6812.
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 6832/814,2158/6812?
Given fractions are 6832/814,2158/6812
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 6832/814,2158/6812, numerators are 6832,2158
Denominators are 814,6812
The GCF of 6832,2158 is 2 .
LCM of 814,6812 is 2772484.
The greatest common factor of 6832/814,2158/6812 = [GCF of 6832,2158]/[LCM of 814,6812]= 2/2772484
Therefore, the GCF of 6832/814,2158/6812 is 2/2772484.
To find the highest common factor of 6832,2158, we have to find the factors of both numbers and list the highest common factor.
The factors of 6832 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 61, 112, 122, 244, 427, 488, 854, 976, 1708, 3416, 6832
The factors of 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158
The HCF of 6832,2158 is 2.
Lets's calculate GCF of 6832,2158
| 2 | 6832, 2158 |
| 3416, 1079 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6832,2158 By Matching Biggest Common Factor Method
Now, list down the factors of 6832
:1,2,4,7,8,14,16,28,56,61,112,122,244,427,488,854,976,1708,3416,6832
Now, list down the factors of 2158
:1,2,13,26,83,166,1079,2158
Greatest Common Factor
We found the factors 6832,2158 . The biggest common factor number is the GCF number.
So the greatest common factor 6832,2158 is 2.
Lets's calculate LCM of 814,6812
| 2 | 814, 6812 |
| 407, 3406 |
∴ So the LCM of the given numbers is 2 x 407 x 3406 = 2772484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2772484
Therefore, the GCF of Fractions 6832/814,2158/6812 is 2/2772484
Least Common Multiple of 814,6812 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 814,6812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,6812) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,6812) x common factors =2 x 1 = 2
LCM(814,6812) = ( 814 × 6812 ) / 2
LCM(814,6812) = 5544968 / 2
LCM(814,6812) = 2772484
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FAQs on GCF of Fractions of 6832/814, 2158/6812
1. What is the HCF of 6832,2158?
The HCF of 6832,2158 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 6832/814, 2158/6812?
Answer: GCF of Numerators as per given numbers 6832/814, 2158/6812 is
GCF of Numerators i.e. for 6832,2158 is 2
LCM of denominators i.e. for 814,6812 is 2772484.
Thus, GCF of Fractions is 2/2772484.Finally, GCF of Fractions for 6832/814, 2158/6812 is 2/2772484.