Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3335/552,1023/179
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 3335,1023
Greatest Common Factor of Numerators i.e. GCF of 3335,1023 is 1 .
LCM of Denominators means LCM of 552,179 as per the given fractions.
LCM of 552,179 is 98808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3335,1023
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3335
List of positive integer factors of 3335 that divides 3335 without a remainder.
1,5,23,29,115,145,667,3335
Factors of 1023
List of positive integer factors of 1023 that divides 1023 without a remainder.
1,3,11,31,33,93,341,1023
Greatest Common Factor
We found the factors 3335,1023 . The biggest common factor number is the GCF number.
So the greatest common factor 3335,1023 is 1.
Lets's calculate LCM of 552,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 98808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98808
Therefore, the GCF of Fractions 3335/552,1023/179 is 1/98808
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 552,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(552,179) x common factors =1 x 1 = 1
LCM(552,179) = ( 552 × 179 ) / 1
LCM(552,179) = 98808 / 1
LCM(552,179) = 98808
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 3335/552, 1023/179?
Answer: GCF of Numerators as per given numbers 3335/552, 1023/179 is
GCF of Numerators i.e. for 3335,1023 is 1
LCM of denominators i.e. for 552,179 is 98808.
Thus, GCF of Fractions is 1/98808.Finally, GCF of Fractions for 3335/552, 1023/179 is 1/98808.