Use our free GCF of Fractions Calculator tool to compute the GCF of 896/841, 184/948 i.e 8/797268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/841, 184/948.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 896/841,184/948
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 896/841,184/948, numerators are 896,184
Denominators are 841,948
The GCF of 896,184 is 8 .
LCM of 841,948 is 797268.
The greatest common factor of 896/841,184/948 = [GCF of 896,184]/[LCM of 841,948]= 8/797268
Therefore, the GCF of 896/841,184/948 is 8/797268.
To find the highest common factor of 896,184, 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 184 are 1, 2, 4, 8, 23, 46, 92, 184
The HCF of 896,184 is 8.
Lets's calculate GCF of 896,184
2 | 896, 184 |
2 | 448, 92 |
2 | 224, 46 |
112, 23 |
∴ 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 184
:1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 896,184 . The biggest common factor number is the GCF number.
So the greatest common factor 896,184 is 8.
Lets's calculate LCM of 841,948
Given numbers has no common factors except 1. So, there LCM is their product i.e 797268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/797268
Therefore, the GCF of Fractions 896/841,184/948 is 8/797268
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 841,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,948) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,948) x common factors =1 x 1 = 1
LCM(841,948) = ( 841 × 948 ) / 1
LCM(841,948) = 797268 / 1
LCM(841,948) = 797268
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 896,184?
The HCF of 896,184 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 896/841, 184/948?
Answer: GCF of Numerators as per given numbers 896/841, 184/948 is
GCF of Numerators i.e. for 896,184 is 8
LCM of denominators i.e. for 841,948 is 797268.
Thus, GCF of Fractions is 8/797268.Finally, GCF of Fractions for 896/841, 184/948 is 8/797268.