Use our free GCF of Fractions Calculator tool to compute the GCF of 969/279, 168/543 i.e 3/50499 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/279, 168/543.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 969/279,168/543
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 969/279,168/543, numerators are 969,168
Denominators are 279,543
The GCF of 969,168 is 3 .
LCM of 279,543 is 50499.
The greatest common factor of 969/279,168/543 = [GCF of 969,168]/[LCM of 279,543]= 3/50499
Therefore, the GCF of 969/279,168/543 is 3/50499.
To find the highest common factor of 969,168, we have to find the factors of both numbers and list the highest common factor.
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The HCF of 969,168 is 3.
Lets's calculate GCF of 969,168
3 | 969, 168 |
323, 56 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 969,168 . The biggest common factor number is the GCF number.
So the greatest common factor 969,168 is 3.
Lets's calculate LCM of 279,543
3 | 279, 543 |
93, 181 |
∴ So the LCM of the given numbers is 3 x 93 x 181 = 50499
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/50499
Therefore, the GCF of Fractions 969/279,168/543 is 3/50499
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 279,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,543) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(279,543) x common factors =3 x 1 = 3
LCM(279,543) = ( 279 × 543 ) / 3
LCM(279,543) = 151497 / 3
LCM(279,543) = 50499
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 969,168?
The HCF of 969,168 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 969/279, 168/543?
Answer: GCF of Numerators as per given numbers 969/279, 168/543 is
GCF of Numerators i.e. for 969,168 is 3
LCM of denominators i.e. for 279,543 is 50499.
Thus, GCF of Fractions is 3/50499.Finally, GCF of Fractions for 969/279, 168/543 is 3/50499.