Use our free GCF of Fractions Calculator tool to compute the GCF of 69/11, 273/83, 518/112 i.e 1/102256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/11, 273/83, 518/112.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/11,273/83,518/112
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 69/11,273/83,518/112, numerators are 69,273,518
Denominators are 11,83,112
The GCF of 69,273,518 is 1 .
LCM of 11,83,112 is 102256.
The greatest common factor of 69/11,273/83,518/112 = [GCF of 69,273,518]/[LCM of 11,83,112]= 1/102256
Therefore, the GCF of 69/11,273/83,518/112 is 1/102256.
To find the highest common factor of 69,273,518, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The HCF of 69,273,518 is 1.
Lets's calculate GCF of 69,273,518
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 273
:1,3,7,13,21,39,91,273
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 69,273,518 . The biggest common factor number is the GCF number.
So the greatest common factor 69,273,518 is 1.
Lets's calculate LCM of 11,83,112
Given numbers has no common factors except 1. So, there LCM is their product i.e 102256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102256
Therefore, the GCF of Fractions 69/11,273/83,518/112 is 1/102256
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 11,83,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,83,112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,83,112) x common factors =1 x 1 = 1
LCM(11,83,112) = ( 11 × 83 × 112 ) / 1
LCM(11,83,112) = 102256 / 1
LCM(11,83,112) = 102256
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,273,518?
The HCF of 69,273,518 is 1
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 69/11, 273/83, 518/112?
Answer: GCF of Numerators as per given numbers 69/11, 273/83, 518/112 is
GCF of Numerators i.e. for 69,273,518 is 1
LCM of denominators i.e. for 11,83,112 is 102256.
Thus, GCF of Fractions is 1/102256.Finally, GCF of Fractions for 69/11, 273/83, 518/112 is 1/102256.