Use our free GCF of Fractions Calculator tool to compute the GCF of 8/61, 49/19, 11/852, 184/974 i.e 1/480896916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/61, 49/19, 11/852, 184/974.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/61,49/19,11/852,184/974
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 8/61,49/19,11/852,184/974, numerators are 8,49,11,184
Denominators are 61,19,852,974
The GCF of 8,49,11,184 is 1 .
LCM of 61,19,852,974 is 480896916.
The greatest common factor of 8/61,49/19,11/852,184/974 = [GCF of 8,49,11,184]/[LCM of 61,19,852,974]= 1/480896916
Therefore, the GCF of 8/61,49/19,11/852,184/974 is 1/480896916.
To find the highest common factor of 8,49,11,184, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 49 are 1, 7, 49
The factors of 11 are 1, 11
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184
The HCF of 8,49,11,184 is 1.
Lets's calculate GCF of 8,49,11,184
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 11
:1,11
Now, list down the factors of 184
:1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 8,49,11,184 . The biggest common factor number is the GCF number.
So the greatest common factor 8,49,11,184 is 1.
Lets's calculate LCM of 61,19,852,974
2 | 61, 19, 852, 974 |
61, 19, 426, 487 |
∴ So the LCM of the given numbers is 2 x 61 x 19 x 426 x 487 = 480896916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/480896916
Therefore, the GCF of Fractions 8/61,49/19,11/852,184/974 is 1/480896916
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 61,19,852,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,19,852,974) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(61,19,852,974) x common factors =1 x 2 = 2
LCM(61,19,852,974) = ( 61 × 19 × 852 × 974 ) / 2
LCM(61,19,852,974) = 961793832 / 2
LCM(61,19,852,974) = 480896916
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8,49,11,184?
The HCF of 8,49,11,184 is 1
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 8/61, 49/19, 11/852, 184/974?
Answer: GCF of Numerators as per given numbers 8/61, 49/19, 11/852, 184/974 is
GCF of Numerators i.e. for 8,49,11,184 is 1
LCM of denominators i.e. for 61,19,852,974 is 480896916.
Thus, GCF of Fractions is 1/480896916.Finally, GCF of Fractions for 8/61, 49/19, 11/852, 184/974 is 1/480896916.