Use our free GCF of Fractions Calculator tool to compute the GCF of 866/169, 696/192 i.e 2/32448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/169, 696/192.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 866/169,696/192
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 866/169,696/192, numerators are 866,696
Denominators are 169,192
The GCF of 866,696 is 2 .
LCM of 169,192 is 32448.
The greatest common factor of 866/169,696/192 = [GCF of 866,696]/[LCM of 169,192]= 2/32448
Therefore, the GCF of 866/169,696/192 is 2/32448.
To find the highest common factor of 866,696, we have to find the factors of both numbers and list the highest common factor.
The factors of 866 are 1, 2, 433, 866
The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
The HCF of 866,696 is 2.
Lets's calculate GCF of 866,696
2 | 866, 696 |
433, 348 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 866
:1,2,433,866
Now, list down the factors of 696
:1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 866,696 . The biggest common factor number is the GCF number.
So the greatest common factor 866,696 is 2.
Lets's calculate LCM of 169,192
Given numbers has no common factors except 1. So, there LCM is their product i.e 32448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32448
Therefore, the GCF of Fractions 866/169,696/192 is 2/32448
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 169,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,192) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,192) x common factors =1 x 1 = 1
LCM(169,192) = ( 169 × 192 ) / 1
LCM(169,192) = 32448 / 1
LCM(169,192) = 32448
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 866,696?
The HCF of 866,696 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 866/169, 696/192?
Answer: GCF of Numerators as per given numbers 866/169, 696/192 is
GCF of Numerators i.e. for 866,696 is 2
LCM of denominators i.e. for 169,192 is 32448.
Thus, GCF of Fractions is 2/32448.Finally, GCF of Fractions for 866/169, 696/192 is 2/32448.