Use our free GCF of Fractions Calculator tool to compute the GCF of 354/681, 593/117 i.e 1/26559 easily. The following is the detailed procedure to determine the greatest common factor of fractions 354/681, 593/117.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 354/681,593/117
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 354/681,593/117, numerators are 354,593
Denominators are 681,117
The GCF of 354,593 is 1 .
LCM of 681,117 is 26559.
The greatest common factor of 354/681,593/117 = [GCF of 354,593]/[LCM of 681,117]= 1/26559
Therefore, the GCF of 354/681,593/117 is 1/26559.
To find the highest common factor of 354,593, we have to find the factors of both numbers and list the highest common factor.
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The factors of 593 are 1, 593
The HCF of 354,593 is 1.
Lets's calculate GCF of 354,593
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Now, list down the factors of 593
:1,593
Greatest Common Factor
We found the factors 354,593 . The biggest common factor number is the GCF number.
So the greatest common factor 354,593 is 1.
Lets's calculate LCM of 681,117
3 | 681, 117 |
227, 39 |
∴ So the LCM of the given numbers is 3 x 227 x 39 = 26559
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26559
Therefore, the GCF of Fractions 354/681,593/117 is 1/26559
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 681,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,117) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(681,117) x common factors =3 x 1 = 3
LCM(681,117) = ( 681 × 117 ) / 3
LCM(681,117) = 79677 / 3
LCM(681,117) = 26559
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 354,593?
The HCF of 354,593 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 354/681, 593/117?
Answer: GCF of Numerators as per given numbers 354/681, 593/117 is
GCF of Numerators i.e. for 354,593 is 1
LCM of denominators i.e. for 681,117 is 26559.
Thus, GCF of Fractions is 1/26559.Finally, GCF of Fractions for 354/681, 593/117 is 1/26559.