Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4247/399,4501/736
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 4247,4501
Greatest Common Factor of Numerators i.e. GCF of 4247,4501 is 1 .
LCM of Denominators means LCM of 399,736 as per the given fractions.
LCM of 399,736 is 293664 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4247,4501
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4247
List of positive integer factors of 4247 that divides 4247 without a remainder.
1,31,137,4247
Factors of 4501
List of positive integer factors of 4501 that divides 4501 without a remainder.
1,7,643,4501
Greatest Common Factor
We found the factors 4247,4501 . The biggest common factor number is the GCF number.
So the greatest common factor 4247,4501 is 1.
Lets's calculate LCM of 399,736
Given numbers has no common factors except 1. So, there LCM is their product i.e 293664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293664
Therefore, the GCF of Fractions 4247/399,4501/736 is 1/293664
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 399,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,736) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,736) x common factors =1 x 1 = 1
LCM(399,736) = ( 399 × 736 ) / 1
LCM(399,736) = 293664 / 1
LCM(399,736) = 293664
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 4247/399, 4501/736?
Answer: GCF of Numerators as per given numbers 4247/399, 4501/736 is
GCF of Numerators i.e. for 4247,4501 is 1
LCM of denominators i.e. for 399,736 is 293664.
Thus, GCF of Fractions is 1/293664.Finally, GCF of Fractions for 4247/399, 4501/736 is 1/293664.