Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 266/84,5451/949
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 266,5451
Greatest Common Factor of Numerators i.e. GCF of 266,5451 is 1 .
LCM of Denominators means LCM of 84,949 as per the given fractions.
LCM of 84,949 is 79716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 266,5451
∴ 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 5451
List of positive integer factors of 5451 that divides 5451 without a remainder.
1,3,23,69,79,237,1817,5451
Greatest Common Factor
We found the factors 266,5451 . The biggest common factor number is the GCF number.
So the greatest common factor 266,5451 is 1.
Lets's calculate LCM of 84,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 79716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79716
Therefore, the GCF of Fractions 266/84,5451/949 is 1/79716
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 84,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,949) x common factors =1 x 1 = 1
LCM(84,949) = ( 84 × 949 ) / 1
LCM(84,949) = 79716 / 1
LCM(84,949) = 79716
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 266/84, 5451/949?
Answer: GCF of Numerators as per given numbers 266/84, 5451/949 is
GCF of Numerators i.e. for 266,5451 is 1
LCM of denominators i.e. for 84,949 is 79716.
Thus, GCF of Fractions is 1/79716.Finally, GCF of Fractions for 266/84, 5451/949 is 1/79716.