Use our free GCF of Fractions Calculator tool to compute the GCF of 40/263, 788/732, 948/244 i.e 4/192516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/263, 788/732, 948/244.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/263,788/732,948/244
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 40/263,788/732,948/244, numerators are 40,788,948
Denominators are 263,732,244
The GCF of 40,788,948 is 4 .
LCM of 263,732,244 is 192516.
The greatest common factor of 40/263,788/732,948/244 = [GCF of 40,788,948]/[LCM of 263,732,244]= 4/192516
Therefore, the GCF of 40/263,788/732,948/244 is 4/192516.
To find the highest common factor of 40,788,948, we have to find the factors of both numbers and list the highest common factor.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 788 are 1, 2, 4, 197, 394, 788
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The HCF of 40,788,948 is 4.
Lets's calculate GCF of 40,788,948
2 | 40, 788, 948 |
2 | 20, 394, 474 |
10, 197, 237 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 788
:1,2,4,197,394,788
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 40,788,948 . The biggest common factor number is the GCF number.
So the greatest common factor 40,788,948 is 4.
Lets's calculate LCM of 263,732,244
2 | 263, 732, 244 |
2 | 263, 366, 122 |
61 | 263, 183, 61 |
263, 3, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 61 x 263 x 3 x 1 = 192516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/192516
Therefore, the GCF of Fractions 40/263,788/732,948/244 is 4/192516
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 263,732,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,732,244) = 1
common factors(in case of two or more numbers have common factors) = 244
GCF(263,732,244) x common factors =1 x 244 = 244
LCM(263,732,244) = ( 263 × 732 × 244 ) / 244
LCM(263,732,244) = 46973904 / 244
LCM(263,732,244) = 192516
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 40,788,948?
The HCF of 40,788,948 is 4
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 40/263, 788/732, 948/244?
Answer: GCF of Numerators as per given numbers 40/263, 788/732, 948/244 is
GCF of Numerators i.e. for 40,788,948 is 4
LCM of denominators i.e. for 263,732,244 is 192516.
Thus, GCF of Fractions is 4/192516.Finally, GCF of Fractions for 40/263, 788/732, 948/244 is 4/192516.