Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 796/42,239/50,206/767
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 796,239,206
Greatest Common Factor of Numerators i.e. GCF of 796,239,206 is 1 .
LCM of Denominators means LCM of 42,50,767 as per the given fractions.
LCM of 42,50,767 is 805350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 796,239,206
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Greatest Common Factor
We found the factors 796,239,206 . The biggest common factor number is the GCF number.
So the greatest common factor 796,239,206 is 1.
Lets's calculate LCM of 42,50,767
2 | 42, 50, 767 |
21, 25, 767 |
∴ So the LCM of the given numbers is 2 x 21 x 25 x 767 = 805350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/805350
Therefore, the GCF of Fractions 796/42,239/50,206/767 is 1/805350
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 42,50,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,50,767) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(42,50,767) x common factors =1 x 2 = 2
LCM(42,50,767) = ( 42 × 50 × 767 ) / 2
LCM(42,50,767) = 1610700 / 2
LCM(42,50,767) = 805350
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 796/42, 239/50, 206/767?
Answer: GCF of Numerators as per given numbers 796/42, 239/50, 206/767 is
GCF of Numerators i.e. for 796,239,206 is 1
LCM of denominators i.e. for 42,50,767 is 805350.
Thus, GCF of Fractions is 1/805350.Finally, GCF of Fractions for 796/42, 239/50, 206/767 is 1/805350.