Use our free GCF of Fractions Calculator tool to compute the GCF of 842/234, 774/326 i.e 2/38142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 842/234, 774/326.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 842/234,774/326
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 842/234,774/326, numerators are 842,774
Denominators are 234,326
The GCF of 842,774 is 2 .
LCM of 234,326 is 38142.
The greatest common factor of 842/234,774/326 = [GCF of 842,774]/[LCM of 234,326]= 2/38142
Therefore, the GCF of 842/234,774/326 is 2/38142.
To find the highest common factor of 842,774, we have to find the factors of both numbers and list the highest common factor.
The factors of 842 are 1, 2, 421, 842
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The HCF of 842,774 is 2.
Lets's calculate GCF of 842,774
2 | 842, 774 |
421, 387 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 842
:1,2,421,842
Now, list down the factors of 774
:1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 842,774 . The biggest common factor number is the GCF number.
So the greatest common factor 842,774 is 2.
Lets's calculate LCM of 234,326
2 | 234, 326 |
117, 163 |
∴ So the LCM of the given numbers is 2 x 117 x 163 = 38142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38142
Therefore, the GCF of Fractions 842/234,774/326 is 2/38142
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 234,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(234,326) x common factors =2 x 1 = 2
LCM(234,326) = ( 234 × 326 ) / 2
LCM(234,326) = 76284 / 2
LCM(234,326) = 38142
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 842,774?
The HCF of 842,774 is 2
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 842/234, 774/326?
Answer: GCF of Numerators as per given numbers 842/234, 774/326 is
GCF of Numerators i.e. for 842,774 is 2
LCM of denominators i.e. for 234,326 is 38142.
Thus, GCF of Fractions is 2/38142.Finally, GCF of Fractions for 842/234, 774/326 is 2/38142.