Use our free GCF of Fractions Calculator tool to compute the GCF of 693/960, 147/326 i.e 21/156480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/960, 147/326.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 693/960,147/326
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 693/960,147/326, numerators are 693,147
Denominators are 960,326
The GCF of 693,147 is 21 .
LCM of 960,326 is 156480.
The greatest common factor of 693/960,147/326 = [GCF of 693,147]/[LCM of 960,326]= 21/156480
Therefore, the GCF of 693/960,147/326 is 21/156480.
To find the highest common factor of 693,147, we have to find the factors of both numbers and list the highest common factor.
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The factors of 147 are 1, 3, 7, 21, 49, 147
The HCF of 693,147 is 21.
Lets's calculate GCF of 693,147
3 | 693, 147 |
7 | 231, 49 |
33, 7 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Now, list down the factors of 147
:1,3,7,21,49,147
Greatest Common Factor
We found the factors 693,147 . The biggest common factor number is the GCF number.
So the greatest common factor 693,147 is 21.
Lets's calculate LCM of 960,326
2 | 960, 326 |
480, 163 |
∴ So the LCM of the given numbers is 2 x 480 x 163 = 156480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/156480
Therefore, the GCF of Fractions 693/960,147/326 is 21/156480
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 960,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(960,326) x common factors =2 x 1 = 2
LCM(960,326) = ( 960 × 326 ) / 2
LCM(960,326) = 312960 / 2
LCM(960,326) = 156480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 693,147?
The HCF of 693,147 is 21
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 693/960, 147/326?
Answer: GCF of Numerators as per given numbers 693/960, 147/326 is
GCF of Numerators i.e. for 693,147 is 21
LCM of denominators i.e. for 960,326 is 156480.
Thus, GCF of Fractions is 21/156480.Finally, GCF of Fractions for 693/960, 147/326 is 21/156480.