Use our free GCF of Fractions Calculator tool to compute the GCF of 897/358, 159/688 i.e 3/123152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 897/358, 159/688.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 897/358,159/688
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 897/358,159/688, numerators are 897,159
Denominators are 358,688
The GCF of 897,159 is 3 .
LCM of 358,688 is 123152.
The greatest common factor of 897/358,159/688 = [GCF of 897,159]/[LCM of 358,688]= 3/123152
Therefore, the GCF of 897/358,159/688 is 3/123152.
To find the highest common factor of 897,159, we have to find the factors of both numbers and list the highest common factor.
The factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897
The factors of 159 are 1, 3, 53, 159
The HCF of 897,159 is 3.
Lets's calculate GCF of 897,159
3 | 897, 159 |
299, 53 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 897
:1,3,13,23,39,69,299,897
Now, list down the factors of 159
:1,3,53,159
Greatest Common Factor
We found the factors 897,159 . The biggest common factor number is the GCF number.
So the greatest common factor 897,159 is 3.
Lets's calculate LCM of 358,688
2 | 358, 688 |
179, 344 |
∴ So the LCM of the given numbers is 2 x 179 x 344 = 123152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/123152
Therefore, the GCF of Fractions 897/358,159/688 is 3/123152
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 358,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(358,688) x common factors =2 x 1 = 2
LCM(358,688) = ( 358 × 688 ) / 2
LCM(358,688) = 246304 / 2
LCM(358,688) = 123152
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 897,159?
The HCF of 897,159 is 3
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 897/358, 159/688?
Answer: GCF of Numerators as per given numbers 897/358, 159/688 is
GCF of Numerators i.e. for 897,159 is 3
LCM of denominators i.e. for 358,688 is 123152.
Thus, GCF of Fractions is 3/123152.Finally, GCF of Fractions for 897/358, 159/688 is 3/123152.