Use our free GCF of Fractions Calculator tool to compute the GCF of 17/91, 159/35, 880/377 i.e 1/13195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/91, 159/35, 880/377.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/91,159/35,880/377
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 17/91,159/35,880/377, numerators are 17,159,880
Denominators are 91,35,377
The GCF of 17,159,880 is 1 .
LCM of 91,35,377 is 13195.
The greatest common factor of 17/91,159/35,880/377 = [GCF of 17,159,880]/[LCM of 91,35,377]= 1/13195
Therefore, the GCF of 17/91,159/35,880/377 is 1/13195.
To find the highest common factor of 17,159,880, 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 159 are 1, 3, 53, 159
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 17,159,880 is 1.
Lets's calculate GCF of 17,159,880
∴ 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 159
:1,3,53,159
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 17,159,880 . The biggest common factor number is the GCF number.
So the greatest common factor 17,159,880 is 1.
Lets's calculate LCM of 91,35,377
7 | 91, 35, 377 |
13 | 13, 5, 377 |
1, 5, 29 |
∴ So the LCM of the given numbers is 7 x 13 x 1 x 5 x 29 = 13195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13195
Therefore, the GCF of Fractions 17/91,159/35,880/377 is 1/13195
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 91,35,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,35,377) = 1
common factors(in case of two or more numbers have common factors) = 91
GCF(91,35,377) x common factors =1 x 91 = 91
LCM(91,35,377) = ( 91 × 35 × 377 ) / 91
LCM(91,35,377) = 1200745 / 91
LCM(91,35,377) = 13195
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,159,880?
The HCF of 17,159,880 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 17/91, 159/35, 880/377?
Answer: GCF of Numerators as per given numbers 17/91, 159/35, 880/377 is
GCF of Numerators i.e. for 17,159,880 is 1
LCM of denominators i.e. for 91,35,377 is 13195.
Thus, GCF of Fractions is 1/13195.Finally, GCF of Fractions for 17/91, 159/35, 880/377 is 1/13195.