Use our free GCF of Fractions Calculator tool to compute the GCF of 4162/286, 9628/954 i.e 2/136422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4162/286, 9628/954.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4162/286,9628/954
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 4162/286,9628/954, numerators are 4162,9628
Denominators are 286,954
The GCF of 4162,9628 is 2 .
LCM of 286,954 is 136422.
The greatest common factor of 4162/286,9628/954 = [GCF of 4162,9628]/[LCM of 286,954]= 2/136422
Therefore, the GCF of 4162/286,9628/954 is 2/136422.
To find the highest common factor of 4162,9628, we have to find the factors of both numbers and list the highest common factor.
The factors of 4162 are 1, 2, 2081, 4162
The factors of 9628 are 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628
The HCF of 4162,9628 is 2.
Lets's calculate GCF of 4162,9628
2 | 4162, 9628 |
2081, 4814 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4162
:1,2,2081,4162
Now, list down the factors of 9628
:1,2,4,29,58,83,116,166,332,2407,4814,9628
Greatest Common Factor
We found the factors 4162,9628 . The biggest common factor number is the GCF number.
So the greatest common factor 4162,9628 is 2.
Lets's calculate LCM of 286,954
2 | 286, 954 |
143, 477 |
∴ So the LCM of the given numbers is 2 x 143 x 477 = 136422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136422
Therefore, the GCF of Fractions 4162/286,9628/954 is 2/136422
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 286,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,954) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,954) x common factors =2 x 1 = 2
LCM(286,954) = ( 286 × 954 ) / 2
LCM(286,954) = 272844 / 2
LCM(286,954) = 136422
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4162,9628?
The HCF of 4162,9628 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 4162/286, 9628/954?
Answer: GCF of Numerators as per given numbers 4162/286, 9628/954 is
GCF of Numerators i.e. for 4162,9628 is 2
LCM of denominators i.e. for 286,954 is 136422.
Thus, GCF of Fractions is 2/136422.Finally, GCF of Fractions for 4162/286, 9628/954 is 2/136422.