Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 203/100,7324/758
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 203,7324
Greatest Common Factor of Numerators i.e. GCF of 203,7324 is 1 .
LCM of Denominators means LCM of 100,758 as per the given fractions.
LCM of 100,758 is 37900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 203,7324
∴ 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 7324
List of positive integer factors of 7324 that divides 7324 without a remainder.
1,2,4,1831,3662,7324
Greatest Common Factor
We found the factors 203,7324 . The biggest common factor number is the GCF number.
So the greatest common factor 203,7324 is 1.
Lets's calculate LCM of 100,758
2 | 100, 758 |
50, 379 |
∴ So the LCM of the given numbers is 2 x 50 x 379 = 37900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37900
Therefore, the GCF of Fractions 203/100,7324/758 is 1/37900
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 100,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(100,758) x common factors =2 x 1 = 2
LCM(100,758) = ( 100 × 758 ) / 2
LCM(100,758) = 75800 / 2
LCM(100,758) = 37900
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 203/100, 7324/758?
Answer: GCF of Numerators as per given numbers 203/100, 7324/758 is
GCF of Numerators i.e. for 203,7324 is 1
LCM of denominators i.e. for 100,758 is 37900.
Thus, GCF of Fractions is 1/37900.Finally, GCF of Fractions for 203/100, 7324/758 is 1/37900.