Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 203/253,207/827
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 203,207
Greatest Common Factor of Numerators i.e. GCF of 203,207 is 1 .
LCM of Denominators means LCM of 253,827 as per the given fractions.
LCM of 253,827 is 209231 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 203,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Greatest Common Factor
We found the factors 203,207 . The biggest common factor number is the GCF number.
So the greatest common factor 203,207 is 1.
Lets's calculate LCM of 253,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 209231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209231
Therefore, the GCF of Fractions 203/253,207/827 is 1/209231
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 253,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,827) x common factors =1 x 1 = 1
LCM(253,827) = ( 253 × 827 ) / 1
LCM(253,827) = 209231 / 1
LCM(253,827) = 209231
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 203/253, 207/827?
Answer: GCF of Numerators as per given numbers 203/253, 207/827 is
GCF of Numerators i.e. for 203,207 is 1
LCM of denominators i.e. for 253,827 is 209231.
Thus, GCF of Fractions is 1/209231.Finally, GCF of Fractions for 203/253, 207/827 is 1/209231.