Use our free GCF of Fractions Calculator tool to compute the GCF of 842/518, 438/402 i.e 2/104118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 842/518, 438/402.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 842/518,438/402
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 842/518,438/402, numerators are 842,438
Denominators are 518,402
The GCF of 842,438 is 2 .
LCM of 518,402 is 104118.
The greatest common factor of 842/518,438/402 = [GCF of 842,438]/[LCM of 518,402]= 2/104118
Therefore, the GCF of 842/518,438/402 is 2/104118.
To find the highest common factor of 842,438, we have to find the factors of both numbers and list the highest common factor.
The factors of 842 are 1, 2, 421, 842
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 842,438 is 2.
Lets's calculate GCF of 842,438
2 | 842, 438 |
421, 219 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 842
:1,2,421,842
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 842,438 . The biggest common factor number is the GCF number.
So the greatest common factor 842,438 is 2.
Lets's calculate LCM of 518,402
2 | 518, 402 |
259, 201 |
∴ So the LCM of the given numbers is 2 x 259 x 201 = 104118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104118
Therefore, the GCF of Fractions 842/518,438/402 is 2/104118
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 518,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(518,402) x common factors =2 x 1 = 2
LCM(518,402) = ( 518 × 402 ) / 2
LCM(518,402) = 208236 / 2
LCM(518,402) = 104118
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 842,438?
The HCF of 842,438 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 842/518, 438/402?
Answer: GCF of Numerators as per given numbers 842/518, 438/402 is
GCF of Numerators i.e. for 842,438 is 2
LCM of denominators i.e. for 518,402 is 104118.
Thus, GCF of Fractions is 2/104118.Finally, GCF of Fractions for 842/518, 438/402 is 2/104118.