Use our free GCF of Fractions Calculator tool to compute the GCF of 917/38, 334/674 i.e 1/12806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 917/38, 334/674.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 917/38,334/674
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 917/38,334/674, numerators are 917,334
Denominators are 38,674
The GCF of 917,334 is 1 .
LCM of 38,674 is 12806.
The greatest common factor of 917/38,334/674 = [GCF of 917,334]/[LCM of 38,674]= 1/12806
Therefore, the GCF of 917/38,334/674 is 1/12806.
To find the highest common factor of 917,334, we have to find the factors of both numbers and list the highest common factor.
The factors of 917 are 1, 7, 131, 917
The factors of 334 are 1, 2, 167, 334
The HCF of 917,334 is 1.
Lets's calculate GCF of 917,334
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 917
:1,7,131,917
Now, list down the factors of 334
:1,2,167,334
Greatest Common Factor
We found the factors 917,334 . The biggest common factor number is the GCF number.
So the greatest common factor 917,334 is 1.
Lets's calculate LCM of 38,674
2 | 38, 674 |
19, 337 |
∴ So the LCM of the given numbers is 2 x 19 x 337 = 12806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12806
Therefore, the GCF of Fractions 917/38,334/674 is 1/12806
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 38,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,674) x common factors =2 x 1 = 2
LCM(38,674) = ( 38 × 674 ) / 2
LCM(38,674) = 25612 / 2
LCM(38,674) = 12806
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 917,334?
The HCF of 917,334 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 917/38, 334/674?
Answer: GCF of Numerators as per given numbers 917/38, 334/674 is
GCF of Numerators i.e. for 917,334 is 1
LCM of denominators i.e. for 38,674 is 12806.
Thus, GCF of Fractions is 1/12806.Finally, GCF of Fractions for 917/38, 334/674 is 1/12806.