GCF of 2706/957, 9376/8368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2706/957, 9376/8368 i.e 2/8008176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2706/957, 9376/8368.
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 2706/957,9376/8368?
Given fractions are 2706/957,9376/8368
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 2706/957,9376/8368, numerators are 2706,9376
Denominators are 957,8368
The GCF of 2706,9376 is 2 .
LCM of 957,8368 is 8008176.
The greatest common factor of 2706/957,9376/8368 = [GCF of 2706,9376]/[LCM of 957,8368]= 2/8008176
Therefore, the GCF of 2706/957,9376/8368 is 2/8008176.
To find the highest common factor of 2706,9376, we have to find the factors of both numbers and list the highest common factor.
The factors of 2706 are 1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706
The factors of 9376 are 1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376
The HCF of 2706,9376 is 2.
Lets's calculate GCF of 2706,9376
| 2 | 2706, 9376 |
| 1353, 4688 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2706,9376 By Matching Biggest Common Factor Method
Now, list down the factors of 2706
:1,2,3,6,11,22,33,41,66,82,123,246,451,902,1353,2706
Now, list down the factors of 9376
:1,2,4,8,16,32,293,586,1172,2344,4688,9376
Greatest Common Factor
We found the factors 2706,9376 . The biggest common factor number is the GCF number.
So the greatest common factor 2706,9376 is 2.
Lets's calculate LCM of 957,8368
Given numbers has no common factors except 1. So, there LCM is their product i.e 8008176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8008176
Therefore, the GCF of Fractions 2706/957,9376/8368 is 2/8008176
Least Common Multiple of 957,8368 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 957,8368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,8368) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(957,8368) x common factors =1 x 1 = 1
LCM(957,8368) = ( 957 × 8368 ) / 1
LCM(957,8368) = 8008176 / 1
LCM(957,8368) = 8008176
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2706/957, 9376/8368
1. What is the HCF of 2706,9376?
The HCF of 2706,9376 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 2706/957, 9376/8368?
Answer: GCF of Numerators as per given numbers 2706/957, 9376/8368 is
GCF of Numerators i.e. for 2706,9376 is 2
LCM of denominators i.e. for 957,8368 is 8008176.
Thus, GCF of Fractions is 2/8008176.Finally, GCF of Fractions for 2706/957, 9376/8368 is 2/8008176.