GCF of 3279/842, 3858/7024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3279/842, 3858/7024 i.e 3/2957104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3279/842, 3858/7024.
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 3279/842,3858/7024?
Given fractions are 3279/842,3858/7024
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 3279/842,3858/7024, numerators are 3279,3858
Denominators are 842,7024
The GCF of 3279,3858 is 3 .
LCM of 842,7024 is 2957104.
The greatest common factor of 3279/842,3858/7024 = [GCF of 3279,3858]/[LCM of 842,7024]= 3/2957104
Therefore, the GCF of 3279/842,3858/7024 is 3/2957104.
To find the highest common factor of 3279,3858, we have to find the factors of both numbers and list the highest common factor.
The factors of 3279 are 1, 3, 1093, 3279
The factors of 3858 are 1, 2, 3, 6, 643, 1286, 1929, 3858
The HCF of 3279,3858 is 3.
Lets's calculate GCF of 3279,3858
| 3 | 3279, 3858 |
| 1093, 1286 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3279,3858 By Matching Biggest Common Factor Method
Now, list down the factors of 3279
:1,3,1093,3279
Now, list down the factors of 3858
:1,2,3,6,643,1286,1929,3858
Greatest Common Factor
We found the factors 3279,3858 . The biggest common factor number is the GCF number.
So the greatest common factor 3279,3858 is 3.
Lets's calculate LCM of 842,7024
| 2 | 842, 7024 |
| 421, 3512 |
∴ So the LCM of the given numbers is 2 x 421 x 3512 = 2957104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2957104
Therefore, the GCF of Fractions 3279/842,3858/7024 is 3/2957104
Least Common Multiple of 842,7024 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 842,7024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,7024) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,7024) x common factors =2 x 1 = 2
LCM(842,7024) = ( 842 × 7024 ) / 2
LCM(842,7024) = 5914208 / 2
LCM(842,7024) = 2957104
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FAQs on GCF of Fractions of 3279/842, 3858/7024
1. What is the HCF of 3279,3858?
The HCF of 3279,3858 is 3
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 3279/842, 3858/7024?
Answer: GCF of Numerators as per given numbers 3279/842, 3858/7024 is
GCF of Numerators i.e. for 3279,3858 is 3
LCM of denominators i.e. for 842,7024 is 2957104.
Thus, GCF of Fractions is 3/2957104.Finally, GCF of Fractions for 3279/842, 3858/7024 is 3/2957104.