Use our free GCF of Fractions Calculator tool to compute the GCF of 71/517, 917/191, 374/115 i.e 1/11355905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/517, 917/191, 374/115.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/517,917/191,374/115
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 71/517,917/191,374/115, numerators are 71,917,374
Denominators are 517,191,115
The GCF of 71,917,374 is 1 .
LCM of 517,191,115 is 11355905.
The greatest common factor of 71/517,917/191,374/115 = [GCF of 71,917,374]/[LCM of 517,191,115]= 1/11355905
Therefore, the GCF of 71/517,917/191,374/115 is 1/11355905.
To find the highest common factor of 71,917,374, we have to find the factors of both numbers and list the highest common factor.
The factors of 71 are 1, 71
The factors of 917 are 1, 7, 131, 917
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The HCF of 71,917,374 is 1.
Lets's calculate GCF of 71,917,374
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 71
:1,71
Now, list down the factors of 917
:1,7,131,917
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 71,917,374 . The biggest common factor number is the GCF number.
So the greatest common factor 71,917,374 is 1.
Lets's calculate LCM of 517,191,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 11355905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11355905
Therefore, the GCF of Fractions 71/517,917/191,374/115 is 1/11355905
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 517,191,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,191,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,191,115) x common factors =1 x 1 = 1
LCM(517,191,115) = ( 517 × 191 × 115 ) / 1
LCM(517,191,115) = 11355905 / 1
LCM(517,191,115) = 11355905
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 71,917,374?
The HCF of 71,917,374 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 71/517, 917/191, 374/115?
Answer: GCF of Numerators as per given numbers 71/517, 917/191, 374/115 is
GCF of Numerators i.e. for 71,917,374 is 1
LCM of denominators i.e. for 517,191,115 is 11355905.
Thus, GCF of Fractions is 1/11355905.Finally, GCF of Fractions for 71/517, 917/191, 374/115 is 1/11355905.