Use our free GCF of Fractions Calculator tool to compute the GCF of 68/26, 737/71, 949/433 i.e 1/799318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/26, 737/71, 949/433.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/26,737/71,949/433
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 68/26,737/71,949/433, numerators are 68,737,949
Denominators are 26,71,433
The GCF of 68,737,949 is 1 .
LCM of 26,71,433 is 799318.
The greatest common factor of 68/26,737/71,949/433 = [GCF of 68,737,949]/[LCM of 26,71,433]= 1/799318
Therefore, the GCF of 68/26,737/71,949/433 is 1/799318.
To find the highest common factor of 68,737,949, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 737 are 1, 11, 67, 737
The factors of 949 are 1, 13, 73, 949
The HCF of 68,737,949 is 1.
Lets's calculate GCF of 68,737,949
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 737
:1,11,67,737
Now, list down the factors of 949
:1,13,73,949
Greatest Common Factor
We found the factors 68,737,949 . The biggest common factor number is the GCF number.
So the greatest common factor 68,737,949 is 1.
Lets's calculate LCM of 26,71,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 799318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/799318
Therefore, the GCF of Fractions 68/26,737/71,949/433 is 1/799318
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 26,71,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,71,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,71,433) x common factors =1 x 1 = 1
LCM(26,71,433) = ( 26 × 71 × 433 ) / 1
LCM(26,71,433) = 799318 / 1
LCM(26,71,433) = 799318
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 68,737,949?
The HCF of 68,737,949 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 68/26, 737/71, 949/433?
Answer: GCF of Numerators as per given numbers 68/26, 737/71, 949/433 is
GCF of Numerators i.e. for 68,737,949 is 1
LCM of denominators i.e. for 26,71,433 is 799318.
Thus, GCF of Fractions is 1/799318.Finally, GCF of Fractions for 68/26, 737/71, 949/433 is 1/799318.