Use our free GCF of Fractions Calculator tool to compute the GCF of 48/861, 56/886, 438/165 i.e 2/41956530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/861, 56/886, 438/165.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/861,56/886,438/165
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 48/861,56/886,438/165, numerators are 48,56,438
Denominators are 861,886,165
The GCF of 48,56,438 is 2 .
LCM of 861,886,165 is 41956530.
The greatest common factor of 48/861,56/886,438/165 = [GCF of 48,56,438]/[LCM of 861,886,165]= 2/41956530
Therefore, the GCF of 48/861,56/886,438/165 is 2/41956530.
To find the highest common factor of 48,56,438, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 48,56,438 is 2.
Lets's calculate GCF of 48,56,438
2 | 48, 56, 438 |
24, 28, 219 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 48,56,438 . The biggest common factor number is the GCF number.
So the greatest common factor 48,56,438 is 2.
Lets's calculate LCM of 861,886,165
3 | 861, 886, 165 |
287, 886, 55 |
∴ So the LCM of the given numbers is 3 x 287 x 886 x 55 = 41956530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41956530
Therefore, the GCF of Fractions 48/861,56/886,438/165 is 2/41956530
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 861,886,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,886,165) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(861,886,165) x common factors =1 x 3 = 3
LCM(861,886,165) = ( 861 × 886 × 165 ) / 3
LCM(861,886,165) = 125869590 / 3
LCM(861,886,165) = 41956530
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,56,438?
The HCF of 48,56,438 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 48/861, 56/886, 438/165?
Answer: GCF of Numerators as per given numbers 48/861, 56/886, 438/165 is
GCF of Numerators i.e. for 48,56,438 is 2
LCM of denominators i.e. for 861,886,165 is 41956530.
Thus, GCF of Fractions is 2/41956530.Finally, GCF of Fractions for 48/861, 56/886, 438/165 is 2/41956530.