GCF of 6963/455, 9756/2917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6963/455, 9756/2917 i.e 3/1327235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6963/455, 9756/2917.
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 6963/455,9756/2917?
Given fractions are 6963/455,9756/2917
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 6963/455,9756/2917, numerators are 6963,9756
Denominators are 455,2917
The GCF of 6963,9756 is 3 .
LCM of 455,2917 is 1327235.
The greatest common factor of 6963/455,9756/2917 = [GCF of 6963,9756]/[LCM of 455,2917]= 3/1327235
Therefore, the GCF of 6963/455,9756/2917 is 3/1327235.
To find the highest common factor of 6963,9756, we have to find the factors of both numbers and list the highest common factor.
The factors of 6963 are 1, 3, 11, 33, 211, 633, 2321, 6963
The factors of 9756 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756
The HCF of 6963,9756 is 3.
Lets's calculate GCF of 6963,9756
| 3 | 6963, 9756 |
| 2321, 3252 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6963,9756 By Matching Biggest Common Factor Method
Now, list down the factors of 6963
:1,3,11,33,211,633,2321,6963
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
Greatest Common Factor
We found the factors 6963,9756 . The biggest common factor number is the GCF number.
So the greatest common factor 6963,9756 is 3.
Lets's calculate LCM of 455,2917
Given numbers has no common factors except 1. So, there LCM is their product i.e 1327235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1327235
Therefore, the GCF of Fractions 6963/455,9756/2917 is 3/1327235
Least Common Multiple of 455,2917 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 455,2917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,2917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,2917) x common factors =1 x 1 = 1
LCM(455,2917) = ( 455 × 2917 ) / 1
LCM(455,2917) = 1327235 / 1
LCM(455,2917) = 1327235
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FAQs on GCF of Fractions of 6963/455, 9756/2917
1. What is the HCF of 6963,9756?
The HCF of 6963,9756 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 6963/455, 9756/2917?
Answer: GCF of Numerators as per given numbers 6963/455, 9756/2917 is
GCF of Numerators i.e. for 6963,9756 is 3
LCM of denominators i.e. for 455,2917 is 1327235.
Thus, GCF of Fractions is 3/1327235.Finally, GCF of Fractions for 6963/455, 9756/2917 is 3/1327235.