Use our free GCF of Fractions Calculator tool to compute the GCF of 896/351, 792/464 i.e 8/162864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/351, 792/464.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 896/351,792/464
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 896/351,792/464, numerators are 896,792
Denominators are 351,464
The GCF of 896,792 is 8 .
LCM of 351,464 is 162864.
The greatest common factor of 896/351,792/464 = [GCF of 896,792]/[LCM of 351,464]= 8/162864
Therefore, the GCF of 896/351,792/464 is 8/162864.
To find the highest common factor of 896,792, 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 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
The HCF of 896,792 is 8.
Lets's calculate GCF of 896,792
2 | 896, 792 |
2 | 448, 396 |
2 | 224, 198 |
112, 99 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
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 792
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 896,792 . The biggest common factor number is the GCF number.
So the greatest common factor 896,792 is 8.
Lets's calculate LCM of 351,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 162864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/162864
Therefore, the GCF of Fractions 896/351,792/464 is 8/162864
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 351,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(351,464) x common factors =1 x 1 = 1
LCM(351,464) = ( 351 × 464 ) / 1
LCM(351,464) = 162864 / 1
LCM(351,464) = 162864
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 896,792?
The HCF of 896,792 is 8
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 896/351, 792/464?
Answer: GCF of Numerators as per given numbers 896/351, 792/464 is
GCF of Numerators i.e. for 896,792 is 8
LCM of denominators i.e. for 351,464 is 162864.
Thus, GCF of Fractions is 8/162864.Finally, GCF of Fractions for 896/351, 792/464 is 8/162864.