Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 929/99,238/623
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 929,238
Greatest Common Factor of Numerators i.e. GCF of 929,238 is 1 .
LCM of Denominators means LCM of 99,623 as per the given fractions.
LCM of 99,623 is 61677 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 929,238
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 929,238 . The biggest common factor number is the GCF number.
So the greatest common factor 929,238 is 1.
Lets's calculate LCM of 99,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 61677
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61677
Therefore, the GCF of Fractions 929/99,238/623 is 1/61677
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 99,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,623) x common factors =1 x 1 = 1
LCM(99,623) = ( 99 × 623 ) / 1
LCM(99,623) = 61677 / 1
LCM(99,623) = 61677
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 929/99, 238/623?
Answer: GCF of Numerators as per given numbers 929/99, 238/623 is
GCF of Numerators i.e. for 929,238 is 1
LCM of denominators i.e. for 99,623 is 61677.
Thus, GCF of Fractions is 1/61677.Finally, GCF of Fractions for 929/99, 238/623 is 1/61677.