GCF of 9756/311, 6706/334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9756/311, 6706/334 i.e 2/103874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9756/311, 6706/334.
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 9756/311,6706/334?
Given fractions are 9756/311,6706/334
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 9756/311,6706/334, numerators are 9756,6706
Denominators are 311,334
The GCF of 9756,6706 is 2 .
LCM of 311,334 is 103874.
The greatest common factor of 9756/311,6706/334 = [GCF of 9756,6706]/[LCM of 311,334]= 2/103874
Therefore, the GCF of 9756/311,6706/334 is 2/103874.
To find the highest common factor of 9756,6706, we have to find the factors of both numbers and list the highest common factor.
The factors of 9756 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756
The factors of 6706 are 1, 2, 7, 14, 479, 958, 3353, 6706
The HCF of 9756,6706 is 2.
Lets's calculate GCF of 9756,6706
| 2 | 9756, 6706 |
| 4878, 3353 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9756,6706 By Matching Biggest Common Factor Method
Now, list down the factors of 9756
:1,2,3,4,6,9,12,18,36,271,542,813,1084,1626,2439,3252,4878,9756
Now, list down the factors of 6706
:1,2,7,14,479,958,3353,6706
Greatest Common Factor
We found the factors 9756,6706 . The biggest common factor number is the GCF number.
So the greatest common factor 9756,6706 is 2.
Lets's calculate LCM of 311,334
Given numbers has no common factors except 1. So, there LCM is their product i.e 103874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103874
Therefore, the GCF of Fractions 9756/311,6706/334 is 2/103874
Least Common Multiple of 311,334 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 311,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,334) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,334) x common factors =1 x 1 = 1
LCM(311,334) = ( 311 × 334 ) / 1
LCM(311,334) = 103874 / 1
LCM(311,334) = 103874
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FAQs on GCF of Fractions of 9756/311, 6706/334
1. What is the HCF of 9756,6706?
The HCF of 9756,6706 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 9756/311, 6706/334?
Answer: GCF of Numerators as per given numbers 9756/311, 6706/334 is
GCF of Numerators i.e. for 9756,6706 is 2
LCM of denominators i.e. for 311,334 is 103874.
Thus, GCF of Fractions is 2/103874.Finally, GCF of Fractions for 9756/311, 6706/334 is 2/103874.