Use our free GCF of Fractions Calculator tool to compute the GCF of 353/287, 970/238 i.e 1/9758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/287, 970/238.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 353/287,970/238
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 353/287,970/238, numerators are 353,970
Denominators are 287,238
The GCF of 353,970 is 1 .
LCM of 287,238 is 9758.
The greatest common factor of 353/287,970/238 = [GCF of 353,970]/[LCM of 287,238]= 1/9758
Therefore, the GCF of 353/287,970/238 is 1/9758.
To find the highest common factor of 353,970, we have to find the factors of both numbers and list the highest common factor.
The factors of 353 are 1, 353
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The HCF of 353,970 is 1.
Lets's calculate GCF of 353,970
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 353
:1,353
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors 353,970 . The biggest common factor number is the GCF number.
So the greatest common factor 353,970 is 1.
Lets's calculate LCM of 287,238
7 | 287, 238 |
41, 34 |
∴ So the LCM of the given numbers is 7 x 41 x 34 = 9758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9758
Therefore, the GCF of Fractions 353/287,970/238 is 1/9758
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 287,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,238) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(287,238) x common factors =7 x 1 = 7
LCM(287,238) = ( 287 × 238 ) / 7
LCM(287,238) = 68306 / 7
LCM(287,238) = 9758
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 353,970?
The HCF of 353,970 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 353/287, 970/238?
Answer: GCF of Numerators as per given numbers 353/287, 970/238 is
GCF of Numerators i.e. for 353,970 is 1
LCM of denominators i.e. for 287,238 is 9758.
Thus, GCF of Fractions is 1/9758.Finally, GCF of Fractions for 353/287, 970/238 is 1/9758.