Use our free GCF of Fractions Calculator tool to compute the GCF of 17/56, 705/83, 562/517 i.e 1/2403016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/56, 705/83, 562/517.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/56,705/83,562/517
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 17/56,705/83,562/517, numerators are 17,705,562
Denominators are 56,83,517
The GCF of 17,705,562 is 1 .
LCM of 56,83,517 is 2403016.
The greatest common factor of 17/56,705/83,562/517 = [GCF of 17,705,562]/[LCM of 56,83,517]= 1/2403016
Therefore, the GCF of 17/56,705/83,562/517 is 1/2403016.
To find the highest common factor of 17,705,562, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The factors of 562 are 1, 2, 281, 562
The HCF of 17,705,562 is 1.
Lets's calculate GCF of 17,705,562
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 17
:1,17
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Now, list down the factors of 562
:1,2,281,562
Greatest Common Factor
We found the factors 17,705,562 . The biggest common factor number is the GCF number.
So the greatest common factor 17,705,562 is 1.
Lets's calculate LCM of 56,83,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 2403016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2403016
Therefore, the GCF of Fractions 17/56,705/83,562/517 is 1/2403016
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 56,83,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,83,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,83,517) x common factors =1 x 1 = 1
LCM(56,83,517) = ( 56 × 83 × 517 ) / 1
LCM(56,83,517) = 2403016 / 1
LCM(56,83,517) = 2403016
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,705,562?
The HCF of 17,705,562 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 17/56, 705/83, 562/517?
Answer: GCF of Numerators as per given numbers 17/56, 705/83, 562/517 is
GCF of Numerators i.e. for 17,705,562 is 1
LCM of denominators i.e. for 56,83,517 is 2403016.
Thus, GCF of Fractions is 1/2403016.Finally, GCF of Fractions for 17/56, 705/83, 562/517 is 1/2403016.