Use our free GCF of Fractions Calculator tool to compute the GCF of 896/656, 735/291 i.e 7/190896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/656, 735/291.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 896/656,735/291
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 896/656,735/291, numerators are 896,735
Denominators are 656,291
The GCF of 896,735 is 7 .
LCM of 656,291 is 190896.
The greatest common factor of 896/656,735/291 = [GCF of 896,735]/[LCM of 656,291]= 7/190896
Therefore, the GCF of 896/656,735/291 is 7/190896.
To find the highest common factor of 896,735, we have to find the factors of both numbers and list the highest common factor.
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The HCF of 896,735 is 7.
Lets's calculate GCF of 896,735
7 | 896, 735 |
128, 105 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Now, list down the factors of 735
:1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 896,735 . The biggest common factor number is the GCF number.
So the greatest common factor 896,735 is 7.
Lets's calculate LCM of 656,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 190896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/190896
Therefore, the GCF of Fractions 896/656,735/291 is 7/190896
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 656,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,291) x common factors =1 x 1 = 1
LCM(656,291) = ( 656 × 291 ) / 1
LCM(656,291) = 190896 / 1
LCM(656,291) = 190896
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 896,735?
The HCF of 896,735 is 7
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 896/656, 735/291?
Answer: GCF of Numerators as per given numbers 896/656, 735/291 is
GCF of Numerators i.e. for 896,735 is 7
LCM of denominators i.e. for 656,291 is 190896.
Thus, GCF of Fractions is 7/190896.Finally, GCF of Fractions for 896/656, 735/291 is 7/190896.