GCF of 4107/468, 6854/1106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4107/468, 6854/1106 i.e 1/258804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4107/468, 6854/1106.
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 4107/468,6854/1106?
Given fractions are 4107/468,6854/1106
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 4107/468,6854/1106, numerators are 4107,6854
Denominators are 468,1106
The GCF of 4107,6854 is 1 .
LCM of 468,1106 is 258804.
The greatest common factor of 4107/468,6854/1106 = [GCF of 4107,6854]/[LCM of 468,1106]= 1/258804
Therefore, the GCF of 4107/468,6854/1106 is 1/258804.
To find the highest common factor of 4107,6854, we have to find the factors of both numbers and list the highest common factor.
The factors of 4107 are 1, 3, 37, 111, 1369, 4107
The factors of 6854 are 1, 2, 23, 46, 149, 298, 3427, 6854
The HCF of 4107,6854 is 1.
Lets's calculate GCF of 4107,6854
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4107,6854 By Matching Biggest Common Factor Method
Now, list down the factors of 4107
:1,3,37,111,1369,4107
Now, list down the factors of 6854
:1,2,23,46,149,298,3427,6854
Greatest Common Factor
We found the factors 4107,6854 . The biggest common factor number is the GCF number.
So the greatest common factor 4107,6854 is 1.
Lets's calculate LCM of 468,1106
| 2 | 468, 1106 |
| 234, 553 |
∴ So the LCM of the given numbers is 2 x 234 x 553 = 258804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258804
Therefore, the GCF of Fractions 4107/468,6854/1106 is 1/258804
Least Common Multiple of 468,1106 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 468,1106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,1106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(468,1106) x common factors =2 x 1 = 2
LCM(468,1106) = ( 468 × 1106 ) / 2
LCM(468,1106) = 517608 / 2
LCM(468,1106) = 258804
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FAQs on GCF of Fractions of 4107/468, 6854/1106
1. What is the HCF of 4107,6854?
The HCF of 4107,6854 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 4107/468, 6854/1106?
Answer: GCF of Numerators as per given numbers 4107/468, 6854/1106 is
GCF of Numerators i.e. for 4107,6854 is 1
LCM of denominators i.e. for 468,1106 is 258804.
Thus, GCF of Fractions is 1/258804.Finally, GCF of Fractions for 4107/468, 6854/1106 is 1/258804.