Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7451/887,4541/787
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 7451,4541
Greatest Common Factor of Numerators i.e. GCF of 7451,4541 is 1 .
LCM of Denominators means LCM of 887,787 as per the given fractions.
LCM of 887,787 is 698069 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7451,4541
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7451
List of positive integer factors of 7451 that divides 7451 without a remainder.
1,7451
Factors of 4541
List of positive integer factors of 4541 that divides 4541 without a remainder.
1,19,239,4541
Greatest Common Factor
We found the factors 7451,4541 . The biggest common factor number is the GCF number.
So the greatest common factor 7451,4541 is 1.
Lets's calculate LCM of 887,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 698069
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698069
Therefore, the GCF of Fractions 7451/887,4541/787 is 1/698069
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 887,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,787) x common factors =1 x 1 = 1
LCM(887,787) = ( 887 × 787 ) / 1
LCM(887,787) = 698069 / 1
LCM(887,787) = 698069
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 7451/887, 4541/787?
Answer: GCF of Numerators as per given numbers 7451/887, 4541/787 is
GCF of Numerators i.e. for 7451,4541 is 1
LCM of denominators i.e. for 887,787 is 698069.
Thus, GCF of Fractions is 1/698069.Finally, GCF of Fractions for 7451/887, 4541/787 is 1/698069.