Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7807/79,2421/276
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 7807,2421
Greatest Common Factor of Numerators i.e. GCF of 7807,2421 is 1 .
LCM of Denominators means LCM of 79,276 as per the given fractions.
LCM of 79,276 is 21804 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7807,2421
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7807
List of positive integer factors of 7807 that divides 7807 without a remainder.
1,37,211,7807
Factors of 2421
List of positive integer factors of 2421 that divides 2421 without a remainder.
1,3,9,269,807,2421
Greatest Common Factor
We found the factors 7807,2421 . The biggest common factor number is the GCF number.
So the greatest common factor 7807,2421 is 1.
Lets's calculate LCM of 79,276
Given numbers has no common factors except 1. So, there LCM is their product i.e 21804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21804
Therefore, the GCF of Fractions 7807/79,2421/276 is 1/21804
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 79,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,276) x common factors =1 x 1 = 1
LCM(79,276) = ( 79 × 276 ) / 1
LCM(79,276) = 21804 / 1
LCM(79,276) = 21804
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 7807/79, 2421/276?
Answer: GCF of Numerators as per given numbers 7807/79, 2421/276 is
GCF of Numerators i.e. for 7807,2421 is 1
LCM of denominators i.e. for 79,276 is 21804.
Thus, GCF of Fractions is 1/21804.Finally, GCF of Fractions for 7807/79, 2421/276 is 1/21804.