Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 249/47,7502/905
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 249,7502
Greatest Common Factor of Numerators i.e. GCF of 249,7502 is 1 .
LCM of Denominators means LCM of 47,905 as per the given fractions.
LCM of 47,905 is 42535 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 249,7502
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 7502
List of positive integer factors of 7502 that divides 7502 without a remainder.
1,2,11,22,31,62,121,242,341,682,3751,7502
Greatest Common Factor
We found the factors 249,7502 . The biggest common factor number is the GCF number.
So the greatest common factor 249,7502 is 1.
Lets's calculate LCM of 47,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 42535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42535
Therefore, the GCF of Fractions 249/47,7502/905 is 1/42535
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 47,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,905) x common factors =1 x 1 = 1
LCM(47,905) = ( 47 × 905 ) / 1
LCM(47,905) = 42535 / 1
LCM(47,905) = 42535
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 249/47, 7502/905?
Answer: GCF of Numerators as per given numbers 249/47, 7502/905 is
GCF of Numerators i.e. for 249,7502 is 1
LCM of denominators i.e. for 47,905 is 42535.
Thus, GCF of Fractions is 1/42535.Finally, GCF of Fractions for 249/47, 7502/905 is 1/42535.