Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 119/81,526/2846
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 119,526
Greatest Common Factor of Numerators i.e. GCF of 119,526 is 1 .
LCM of Denominators means LCM of 81,2846 as per the given fractions.
LCM of 81,2846 is 230526 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 119,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 119,526 . The biggest common factor number is the GCF number.
So the greatest common factor 119,526 is 1.
Lets's calculate LCM of 81,2846
Given numbers has no common factors except 1. So, there LCM is their product i.e 230526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230526
Therefore, the GCF of Fractions 119/81,526/2846 is 1/230526
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 81,2846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,2846) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,2846) x common factors =1 x 1 = 1
LCM(81,2846) = ( 81 × 2846 ) / 1
LCM(81,2846) = 230526 / 1
LCM(81,2846) = 230526
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 119/81, 526/2846?
Answer: GCF of Numerators as per given numbers 119/81, 526/2846 is
GCF of Numerators i.e. for 119,526 is 1
LCM of denominators i.e. for 81,2846 is 230526.
Thus, GCF of Fractions is 1/230526.Finally, GCF of Fractions for 119/81, 526/2846 is 1/230526.