Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 266/765,195/138
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 266,195
Greatest Common Factor of Numerators i.e. GCF of 266,195 is 1 .
LCM of Denominators means LCM of 765,138 as per the given fractions.
LCM of 765,138 is 35190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 266,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 266,195 . The biggest common factor number is the GCF number.
So the greatest common factor 266,195 is 1.
Lets's calculate LCM of 765,138
3 | 765, 138 |
255, 46 |
∴ So the LCM of the given numbers is 3 x 255 x 46 = 35190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35190
Therefore, the GCF of Fractions 266/765,195/138 is 1/35190
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 765,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,138) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(765,138) x common factors =3 x 1 = 3
LCM(765,138) = ( 765 × 138 ) / 3
LCM(765,138) = 105570 / 3
LCM(765,138) = 35190
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 266/765, 195/138?
Answer: GCF of Numerators as per given numbers 266/765, 195/138 is
GCF of Numerators i.e. for 266,195 is 1
LCM of denominators i.e. for 765,138 is 35190.
Thus, GCF of Fractions is 1/35190.Finally, GCF of Fractions for 266/765, 195/138 is 1/35190.