Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3373/754,5611/5413
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 3373,5611
Greatest Common Factor of Numerators i.e. GCF of 3373,5611 is 1 .
LCM of Denominators means LCM of 754,5413 as per the given fractions.
LCM of 754,5413 is 4081402 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3373,5611
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3373
List of positive integer factors of 3373 that divides 3373 without a remainder.
1,3373
Factors of 5611
List of positive integer factors of 5611 that divides 5611 without a remainder.
1,31,181,5611
Greatest Common Factor
We found the factors 3373,5611 . The biggest common factor number is the GCF number.
So the greatest common factor 3373,5611 is 1.
Lets's calculate LCM of 754,5413
Given numbers has no common factors except 1. So, there LCM is their product i.e 4081402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4081402
Therefore, the GCF of Fractions 3373/754,5611/5413 is 1/4081402
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 754,5413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,5413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(754,5413) x common factors =1 x 1 = 1
LCM(754,5413) = ( 754 × 5413 ) / 1
LCM(754,5413) = 4081402 / 1
LCM(754,5413) = 4081402
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 3373/754, 5611/5413?
Answer: GCF of Numerators as per given numbers 3373/754, 5611/5413 is
GCF of Numerators i.e. for 3373,5611 is 1
LCM of denominators i.e. for 754,5413 is 4081402.
Thus, GCF of Fractions is 1/4081402.Finally, GCF of Fractions for 3373/754, 5611/5413 is 1/4081402.