GCF of 6718/338, 8256/969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6718/338, 8256/969 i.e 2/327522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6718/338, 8256/969.
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 6718/338,8256/969?
Given fractions are 6718/338,8256/969
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 6718/338,8256/969, numerators are 6718,8256
Denominators are 338,969
The GCF of 6718,8256 is 2 .
LCM of 338,969 is 327522.
The greatest common factor of 6718/338,8256/969 = [GCF of 6718,8256]/[LCM of 338,969]= 2/327522
Therefore, the GCF of 6718/338,8256/969 is 2/327522.
To find the highest common factor of 6718,8256, we have to find the factors of both numbers and list the highest common factor.
The factors of 6718 are 1, 2, 3359, 6718
The factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256
The HCF of 6718,8256 is 2.
Lets's calculate GCF of 6718,8256
| 2 | 6718, 8256 |
| 3359, 4128 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6718,8256 By Matching Biggest Common Factor Method
Now, list down the factors of 6718
:1,2,3359,6718
Now, list down the factors of 8256
:1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256
Greatest Common Factor
We found the factors 6718,8256 . The biggest common factor number is the GCF number.
So the greatest common factor 6718,8256 is 2.
Lets's calculate LCM of 338,969
Given numbers has no common factors except 1. So, there LCM is their product i.e 327522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/327522
Therefore, the GCF of Fractions 6718/338,8256/969 is 2/327522
Least Common Multiple of 338,969 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 338,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,969) x common factors =1 x 1 = 1
LCM(338,969) = ( 338 × 969 ) / 1
LCM(338,969) = 327522 / 1
LCM(338,969) = 327522
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FAQs on GCF of Fractions of 6718/338, 8256/969
1. What is the HCF of 6718,8256?
The HCF of 6718,8256 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 6718/338, 8256/969?
Answer: GCF of Numerators as per given numbers 6718/338, 8256/969 is
GCF of Numerators i.e. for 6718,8256 is 2
LCM of denominators i.e. for 338,969 is 327522.
Thus, GCF of Fractions is 2/327522.Finally, GCF of Fractions for 6718/338, 8256/969 is 2/327522.