Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2468/793,7321/9247
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 2468,7321
Greatest Common Factor of Numerators i.e. GCF of 2468,7321 is 1 .
LCM of Denominators means LCM of 793,9247 as per the given fractions.
LCM of 793,9247 is 7332871 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2468,7321
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2468
List of positive integer factors of 2468 that divides 2468 without a remainder.
1,2,4,617,1234,2468
Factors of 7321
List of positive integer factors of 7321 that divides 7321 without a remainder.
1,7321
Greatest Common Factor
We found the factors 2468,7321 . The biggest common factor number is the GCF number.
So the greatest common factor 2468,7321 is 1.
Lets's calculate LCM of 793,9247
Given numbers has no common factors except 1. So, there LCM is their product i.e 7332871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7332871
Therefore, the GCF of Fractions 2468/793,7321/9247 is 1/7332871
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 793,9247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,9247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,9247) x common factors =1 x 1 = 1
LCM(793,9247) = ( 793 × 9247 ) / 1
LCM(793,9247) = 7332871 / 1
LCM(793,9247) = 7332871
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 2468/793, 7321/9247?
Answer: GCF of Numerators as per given numbers 2468/793, 7321/9247 is
GCF of Numerators i.e. for 2468,7321 is 1
LCM of denominators i.e. for 793,9247 is 7332871.
Thus, GCF of Fractions is 1/7332871.Finally, GCF of Fractions for 2468/793, 7321/9247 is 1/7332871.