Use our free GCF of Fractions Calculator tool to compute the GCF of 162/630, 994/780 i.e 2/16380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 162/630, 994/780.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 162/630,994/780
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 162/630,994/780, numerators are 162,994
Denominators are 630,780
The GCF of 162,994 is 2 .
LCM of 630,780 is 16380.
The greatest common factor of 162/630,994/780 = [GCF of 162,994]/[LCM of 630,780]= 2/16380
Therefore, the GCF of 162/630,994/780 is 2/16380.
To find the highest common factor of 162,994, we have to find the factors of both numbers and list the highest common factor.
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The HCF of 162,994 is 2.
Lets's calculate GCF of 162,994
2 | 162, 994 |
81, 497 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 162,994 . The biggest common factor number is the GCF number.
So the greatest common factor 162,994 is 2.
Lets's calculate LCM of 630,780
2 | 630, 780 |
3 | 315, 390 |
5 | 105, 130 |
21, 26 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 21 x 26 = 16380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16380
Therefore, the GCF of Fractions 162/630,994/780 is 2/16380
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 630,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,780) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(630,780) x common factors =30 x 1 = 30
LCM(630,780) = ( 630 × 780 ) / 30
LCM(630,780) = 491400 / 30
LCM(630,780) = 16380
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 162,994?
The HCF of 162,994 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 162/630, 994/780?
Answer: GCF of Numerators as per given numbers 162/630, 994/780 is
GCF of Numerators i.e. for 162,994 is 2
LCM of denominators i.e. for 630,780 is 16380.
Thus, GCF of Fractions is 2/16380.Finally, GCF of Fractions for 162/630, 994/780 is 2/16380.