Use our free GCF of Fractions Calculator tool to compute the GCF of 17/26, 360/80, 103/967 i.e 1/1005680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/26, 360/80, 103/967.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/26,360/80,103/967
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 17/26,360/80,103/967, numerators are 17,360,103
Denominators are 26,80,967
The GCF of 17,360,103 is 1 .
LCM of 26,80,967 is 1005680.
The greatest common factor of 17/26,360/80,103/967 = [GCF of 17,360,103]/[LCM of 26,80,967]= 1/1005680
Therefore, the GCF of 17/26,360/80,103/967 is 1/1005680.
To find the highest common factor of 17,360,103, 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 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The factors of 103 are 1, 103
The HCF of 17,360,103 is 1.
Lets's calculate GCF of 17,360,103
∴ 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 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Now, list down the factors of 103
:1,103
Greatest Common Factor
We found the factors 17,360,103 . The biggest common factor number is the GCF number.
So the greatest common factor 17,360,103 is 1.
Lets's calculate LCM of 26,80,967
2 | 26, 80, 967 |
13, 40, 967 |
∴ So the LCM of the given numbers is 2 x 13 x 40 x 967 = 1005680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1005680
Therefore, the GCF of Fractions 17/26,360/80,103/967 is 1/1005680
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 26,80,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,80,967) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,80,967) x common factors =1 x 2 = 2
LCM(26,80,967) = ( 26 × 80 × 967 ) / 2
LCM(26,80,967) = 2011360 / 2
LCM(26,80,967) = 1005680
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,360,103?
The HCF of 17,360,103 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 17/26, 360/80, 103/967?
Answer: GCF of Numerators as per given numbers 17/26, 360/80, 103/967 is
GCF of Numerators i.e. for 17,360,103 is 1
LCM of denominators i.e. for 26,80,967 is 1005680.
Thus, GCF of Fractions is 1/1005680.Finally, GCF of Fractions for 17/26, 360/80, 103/967 is 1/1005680.