Use our free GCF of Fractions Calculator tool to compute the GCF of 5/19, 65/18, 70/805, 271/277 i.e 1/76260870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5/19, 65/18, 70/805, 271/277.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/19,65/18,70/805,271/277
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 5/19,65/18,70/805,271/277, numerators are 5,65,70,271
Denominators are 19,18,805,277
The GCF of 5,65,70,271 is 1 .
LCM of 19,18,805,277 is 76260870.
The greatest common factor of 5/19,65/18,70/805,271/277 = [GCF of 5,65,70,271]/[LCM of 19,18,805,277]= 1/76260870
Therefore, the GCF of 5/19,65/18,70/805,271/277 is 1/76260870.
To find the highest common factor of 5,65,70,271, we have to find the factors of both numbers and list the highest common factor.
The factors of 5 are 1, 5
The factors of 65 are 1, 5, 13, 65
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 271 are 1, 271
The HCF of 5,65,70,271 is 1.
Lets's calculate GCF of 5,65,70,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5
:1,5
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 271
:1,271
Greatest Common Factor
We found the factors 5,65,70,271 . The biggest common factor number is the GCF number.
So the greatest common factor 5,65,70,271 is 1.
Lets's calculate LCM of 19,18,805,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 76260870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76260870
Therefore, the GCF of Fractions 5/19,65/18,70/805,271/277 is 1/76260870
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 19,18,805,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,18,805,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,18,805,277) x common factors =1 x 1 = 1
LCM(19,18,805,277) = ( 19 × 18 × 805 × 277 ) / 1
LCM(19,18,805,277) = 76260870 / 1
LCM(19,18,805,277) = 76260870
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5,65,70,271?
The HCF of 5,65,70,271 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 5/19, 65/18, 70/805, 271/277?
Answer: GCF of Numerators as per given numbers 5/19, 65/18, 70/805, 271/277 is
GCF of Numerators i.e. for 5,65,70,271 is 1
LCM of denominators i.e. for 19,18,805,277 is 76260870.
Thus, GCF of Fractions is 1/76260870.Finally, GCF of Fractions for 5/19, 65/18, 70/805, 271/277 is 1/76260870.