GCF of 3412/866, 6728/5084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3412/866, 6728/5084 i.e 4/2201372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3412/866, 6728/5084.
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 3412/866,6728/5084?
Given fractions are 3412/866,6728/5084
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 3412/866,6728/5084, numerators are 3412,6728
Denominators are 866,5084
The GCF of 3412,6728 is 4 .
LCM of 866,5084 is 2201372.
The greatest common factor of 3412/866,6728/5084 = [GCF of 3412,6728]/[LCM of 866,5084]= 4/2201372
Therefore, the GCF of 3412/866,6728/5084 is 4/2201372.
To find the highest common factor of 3412,6728, we have to find the factors of both numbers and list the highest common factor.
The factors of 3412 are 1, 2, 4, 853, 1706, 3412
The factors of 6728 are 1, 2, 4, 8, 29, 58, 116, 232, 841, 1682, 3364, 6728
The HCF of 3412,6728 is 4.
Lets's calculate GCF of 3412,6728
| 2 | 3412, 6728 |
| 2 | 1706, 3364 |
| 853, 1682 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3412,6728 By Matching Biggest Common Factor Method
Now, list down the factors of 3412
:1,2,4,853,1706,3412
Now, list down the factors of 6728
:1,2,4,8,29,58,116,232,841,1682,3364,6728
Greatest Common Factor
We found the factors 3412,6728 . The biggest common factor number is the GCF number.
So the greatest common factor 3412,6728 is 4.
Lets's calculate LCM of 866,5084
| 2 | 866, 5084 |
| 433, 2542 |
∴ So the LCM of the given numbers is 2 x 433 x 2542 = 2201372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2201372
Therefore, the GCF of Fractions 3412/866,6728/5084 is 4/2201372
Least Common Multiple of 866,5084 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 866,5084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,5084) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,5084) x common factors =2 x 1 = 2
LCM(866,5084) = ( 866 × 5084 ) / 2
LCM(866,5084) = 4402744 / 2
LCM(866,5084) = 2201372
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FAQs on GCF of Fractions of 3412/866, 6728/5084
1. What is the HCF of 3412,6728?
The HCF of 3412,6728 is 4
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 3412/866, 6728/5084?
Answer: GCF of Numerators as per given numbers 3412/866, 6728/5084 is
GCF of Numerators i.e. for 3412,6728 is 4
LCM of denominators i.e. for 866,5084 is 2201372.
Thus, GCF of Fractions is 4/2201372.Finally, GCF of Fractions for 3412/866, 6728/5084 is 4/2201372.