Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2237/240,5707/157
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 2237,5707
Greatest Common Factor of Numerators i.e. GCF of 2237,5707 is 1 .
LCM of Denominators means LCM of 240,157 as per the given fractions.
LCM of 240,157 is 37680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2237,5707
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2237
List of positive integer factors of 2237 that divides 2237 without a remainder.
1,2237
Factors of 5707
List of positive integer factors of 5707 that divides 5707 without a remainder.
1,13,439,5707
Greatest Common Factor
We found the factors 2237,5707 . The biggest common factor number is the GCF number.
So the greatest common factor 2237,5707 is 1.
Lets's calculate LCM of 240,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 37680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37680
Therefore, the GCF of Fractions 2237/240,5707/157 is 1/37680
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 240,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(240,157) x common factors =1 x 1 = 1
LCM(240,157) = ( 240 × 157 ) / 1
LCM(240,157) = 37680 / 1
LCM(240,157) = 37680
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 2237/240, 5707/157?
Answer: GCF of Numerators as per given numbers 2237/240, 5707/157 is
GCF of Numerators i.e. for 2237,5707 is 1
LCM of denominators i.e. for 240,157 is 37680.
Thus, GCF of Fractions is 1/37680.Finally, GCF of Fractions for 2237/240, 5707/157 is 1/37680.