Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/64,11/63,950/281
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 65,11,950
Greatest Common Factor of Numerators i.e. GCF of 65,11,950 is 1 .
LCM of Denominators means LCM of 64,63,281 as per the given fractions.
LCM of 64,63,281 is 1132992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,11,950
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 65,11,950 . The biggest common factor number is the GCF number.
So the greatest common factor 65,11,950 is 1.
Lets's calculate LCM of 64,63,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 1132992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1132992
Therefore, the GCF of Fractions 65/64,11/63,950/281 is 1/1132992
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 64,63,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,63,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,63,281) x common factors =1 x 1 = 1
LCM(64,63,281) = ( 64 × 63 × 281 ) / 1
LCM(64,63,281) = 1132992 / 1
LCM(64,63,281) = 1132992
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 65/64, 11/63, 950/281?
Answer: GCF of Numerators as per given numbers 65/64, 11/63, 950/281 is
GCF of Numerators i.e. for 65,11,950 is 1
LCM of denominators i.e. for 64,63,281 is 1132992.
Thus, GCF of Fractions is 1/1132992.Finally, GCF of Fractions for 65/64, 11/63, 950/281 is 1/1132992.