Use our free GCF of Fractions Calculator tool to compute the GCF of 72/599, 69/317, 292/338 i.e 1/64180454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/599, 69/317, 292/338.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/599,69/317,292/338
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 72/599,69/317,292/338, numerators are 72,69,292
Denominators are 599,317,338
The GCF of 72,69,292 is 1 .
LCM of 599,317,338 is 64180454.
The greatest common factor of 72/599,69/317,292/338 = [GCF of 72,69,292]/[LCM of 599,317,338]= 1/64180454
Therefore, the GCF of 72/599,69/317,292/338 is 1/64180454.
To find the highest common factor of 72,69,292, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 69 are 1, 3, 23, 69
The factors of 292 are 1, 2, 4, 73, 146, 292
The HCF of 72,69,292 is 1.
Lets's calculate GCF of 72,69,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 72,69,292 . The biggest common factor number is the GCF number.
So the greatest common factor 72,69,292 is 1.
Lets's calculate LCM of 599,317,338
Given numbers has no common factors except 1. So, there LCM is their product i.e 64180454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64180454
Therefore, the GCF of Fractions 72/599,69/317,292/338 is 1/64180454
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 599,317,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,317,338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,317,338) x common factors =1 x 1 = 1
LCM(599,317,338) = ( 599 × 317 × 338 ) / 1
LCM(599,317,338) = 64180454 / 1
LCM(599,317,338) = 64180454
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 72,69,292?
The HCF of 72,69,292 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 72/599, 69/317, 292/338?
Answer: GCF of Numerators as per given numbers 72/599, 69/317, 292/338 is
GCF of Numerators i.e. for 72,69,292 is 1
LCM of denominators i.e. for 599,317,338 is 64180454.
Thus, GCF of Fractions is 1/64180454.Finally, GCF of Fractions for 72/599, 69/317, 292/338 is 1/64180454.