Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3199/79,6781/461
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 3199,6781
Greatest Common Factor of Numerators i.e. GCF of 3199,6781 is 1 .
LCM of Denominators means LCM of 79,461 as per the given fractions.
LCM of 79,461 is 36419 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3199,6781
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3199
List of positive integer factors of 3199 that divides 3199 without a remainder.
1,7,457,3199
Factors of 6781
List of positive integer factors of 6781 that divides 6781 without a remainder.
1,6781
Greatest Common Factor
We found the factors 3199,6781 . The biggest common factor number is the GCF number.
So the greatest common factor 3199,6781 is 1.
Lets's calculate LCM of 79,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 36419
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36419
Therefore, the GCF of Fractions 3199/79,6781/461 is 1/36419
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 79,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,461) x common factors =1 x 1 = 1
LCM(79,461) = ( 79 × 461 ) / 1
LCM(79,461) = 36419 / 1
LCM(79,461) = 36419
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 3199/79, 6781/461?
Answer: GCF of Numerators as per given numbers 3199/79, 6781/461 is
GCF of Numerators i.e. for 3199,6781 is 1
LCM of denominators i.e. for 79,461 is 36419.
Thus, GCF of Fractions is 1/36419.Finally, GCF of Fractions for 3199/79, 6781/461 is 1/36419.