Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/962,753/203
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 83,753
Greatest Common Factor of Numerators i.e. GCF of 83,753 is 1 .
LCM of Denominators means LCM of 962,203 as per the given fractions.
LCM of 962,203 is 195286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,753
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Greatest Common Factor
We found the factors 83,753 . The biggest common factor number is the GCF number.
So the greatest common factor 83,753 is 1.
Lets's calculate LCM of 962,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 195286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195286
Therefore, the GCF of Fractions 83/962,753/203 is 1/195286
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 962,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(962,203) x common factors =1 x 1 = 1
LCM(962,203) = ( 962 × 203 ) / 1
LCM(962,203) = 195286 / 1
LCM(962,203) = 195286
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 83/962, 753/203?
Answer: GCF of Numerators as per given numbers 83/962, 753/203 is
GCF of Numerators i.e. for 83,753 is 1
LCM of denominators i.e. for 962,203 is 195286.
Thus, GCF of Fractions is 1/195286.Finally, GCF of Fractions for 83/962, 753/203 is 1/195286.