Use our free GCF of Fractions Calculator tool to compute the GCF of 18/74, 842/63, 916/409 i.e 2/1906758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/74, 842/63, 916/409.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/74,842/63,916/409
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 18/74,842/63,916/409, numerators are 18,842,916
Denominators are 74,63,409
The GCF of 18,842,916 is 2 .
LCM of 74,63,409 is 1906758.
The greatest common factor of 18/74,842/63,916/409 = [GCF of 18,842,916]/[LCM of 74,63,409]= 2/1906758
Therefore, the GCF of 18/74,842/63,916/409 is 2/1906758.
To find the highest common factor of 18,842,916, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 842 are 1, 2, 421, 842
The factors of 916 are 1, 2, 4, 229, 458, 916
The HCF of 18,842,916 is 2.
Lets's calculate GCF of 18,842,916
2 | 18, 842, 916 |
9, 421, 458 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 842
:1,2,421,842
Now, list down the factors of 916
:1,2,4,229,458,916
Greatest Common Factor
We found the factors 18,842,916 . The biggest common factor number is the GCF number.
So the greatest common factor 18,842,916 is 2.
Lets's calculate LCM of 74,63,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 1906758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1906758
Therefore, the GCF of Fractions 18/74,842/63,916/409 is 2/1906758
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 74,63,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,63,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,63,409) x common factors =1 x 1 = 1
LCM(74,63,409) = ( 74 × 63 × 409 ) / 1
LCM(74,63,409) = 1906758 / 1
LCM(74,63,409) = 1906758
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 18,842,916?
The HCF of 18,842,916 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 18/74, 842/63, 916/409?
Answer: GCF of Numerators as per given numbers 18/74, 842/63, 916/409 is
GCF of Numerators i.e. for 18,842,916 is 2
LCM of denominators i.e. for 74,63,409 is 1906758.
Thus, GCF of Fractions is 2/1906758.Finally, GCF of Fractions for 18/74, 842/63, 916/409 is 2/1906758.