Use our free GCF of Fractions Calculator tool to compute the GCF of 266/793, 470/448 i.e 2/355264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 266/793, 470/448.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 266/793,470/448
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 266/793,470/448, numerators are 266,470
Denominators are 793,448
The GCF of 266,470 is 2 .
LCM of 793,448 is 355264.
The greatest common factor of 266/793,470/448 = [GCF of 266,470]/[LCM of 793,448]= 2/355264
Therefore, the GCF of 266/793,470/448 is 2/355264.
To find the highest common factor of 266,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 266,470 is 2.
Lets's calculate GCF of 266,470
2 | 266, 470 |
133, 235 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 266
:1,2,7,14,19,38,133,266
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 266,470 . The biggest common factor number is the GCF number.
So the greatest common factor 266,470 is 2.
Lets's calculate LCM of 793,448
Given numbers has no common factors except 1. So, there LCM is their product i.e 355264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/355264
Therefore, the GCF of Fractions 266/793,470/448 is 2/355264
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 793,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,448) x common factors =1 x 1 = 1
LCM(793,448) = ( 793 × 448 ) / 1
LCM(793,448) = 355264 / 1
LCM(793,448) = 355264
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 266,470?
The HCF of 266,470 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 266/793, 470/448?
Answer: GCF of Numerators as per given numbers 266/793, 470/448 is
GCF of Numerators i.e. for 266,470 is 2
LCM of denominators i.e. for 793,448 is 355264.
Thus, GCF of Fractions is 2/355264.Finally, GCF of Fractions for 266/793, 470/448 is 2/355264.