GCF of 6906/14, 2326/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6906/14, 2326/667 i.e 2/9338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6906/14, 2326/667.
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 6906/14,2326/667?
Given fractions are 6906/14,2326/667
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 6906/14,2326/667, numerators are 6906,2326
Denominators are 14,667
The GCF of 6906,2326 is 2 .
LCM of 14,667 is 9338.
The greatest common factor of 6906/14,2326/667 = [GCF of 6906,2326]/[LCM of 14,667]= 2/9338
Therefore, the GCF of 6906/14,2326/667 is 2/9338.
To find the highest common factor of 6906,2326, we have to find the factors of both numbers and list the highest common factor.
The factors of 6906 are 1, 2, 3, 6, 1151, 2302, 3453, 6906
The factors of 2326 are 1, 2, 1163, 2326
The HCF of 6906,2326 is 2.
Lets's calculate GCF of 6906,2326
| 2 | 6906, 2326 |
| 3453, 1163 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6906,2326 By Matching Biggest Common Factor Method
Now, list down the factors of 6906
:1,2,3,6,1151,2302,3453,6906
Now, list down the factors of 2326
:1,2,1163,2326
Greatest Common Factor
We found the factors 6906,2326 . The biggest common factor number is the GCF number.
So the greatest common factor 6906,2326 is 2.
Lets's calculate LCM of 14,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 9338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9338
Therefore, the GCF of Fractions 6906/14,2326/667 is 2/9338
Least Common Multiple of 14,667 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 14,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,667) x common factors =1 x 1 = 1
LCM(14,667) = ( 14 × 667 ) / 1
LCM(14,667) = 9338 / 1
LCM(14,667) = 9338
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6906/14, 2326/667
1. What is the HCF of 6906,2326?
The HCF of 6906,2326 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 6906/14, 2326/667?
Answer: GCF of Numerators as per given numbers 6906/14, 2326/667 is
GCF of Numerators i.e. for 6906,2326 is 2
LCM of denominators i.e. for 14,667 is 9338.
Thus, GCF of Fractions is 2/9338.Finally, GCF of Fractions for 6906/14, 2326/667 is 2/9338.