Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3063/445,7259/5354
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 3063,7259
Greatest Common Factor of Numerators i.e. GCF of 3063,7259 is 1 .
LCM of Denominators means LCM of 445,5354 as per the given fractions.
LCM of 445,5354 is 2382530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3063,7259
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3063
List of positive integer factors of 3063 that divides 3063 without a remainder.
1,3,1021,3063
Factors of 7259
List of positive integer factors of 7259 that divides 7259 without a remainder.
1,7,17,61,119,427,1037,7259
Greatest Common Factor
We found the factors 3063,7259 . The biggest common factor number is the GCF number.
So the greatest common factor 3063,7259 is 1.
Lets's calculate LCM of 445,5354
Given numbers has no common factors except 1. So, there LCM is their product i.e 2382530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2382530
Therefore, the GCF of Fractions 3063/445,7259/5354 is 1/2382530
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 445,5354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,5354) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,5354) x common factors =1 x 1 = 1
LCM(445,5354) = ( 445 × 5354 ) / 1
LCM(445,5354) = 2382530 / 1
LCM(445,5354) = 2382530
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 3063/445, 7259/5354?
Answer: GCF of Numerators as per given numbers 3063/445, 7259/5354 is
GCF of Numerators i.e. for 3063,7259 is 1
LCM of denominators i.e. for 445,5354 is 2382530.
Thus, GCF of Fractions is 1/2382530.Finally, GCF of Fractions for 3063/445, 7259/5354 is 1/2382530.