Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4357/220,1487/1091
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 4357,1487
Greatest Common Factor of Numerators i.e. GCF of 4357,1487 is 1 .
LCM of Denominators means LCM of 220,1091 as per the given fractions.
LCM of 220,1091 is 240020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4357,1487
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4357
List of positive integer factors of 4357 that divides 4357 without a remainder.
1,4357
Factors of 1487
List of positive integer factors of 1487 that divides 1487 without a remainder.
1,1487
Greatest Common Factor
We found the factors 4357,1487 . The biggest common factor number is the GCF number.
So the greatest common factor 4357,1487 is 1.
Lets's calculate LCM of 220,1091
Given numbers has no common factors except 1. So, there LCM is their product i.e 240020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240020
Therefore, the GCF of Fractions 4357/220,1487/1091 is 1/240020
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 220,1091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,1091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,1091) x common factors =1 x 1 = 1
LCM(220,1091) = ( 220 × 1091 ) / 1
LCM(220,1091) = 240020 / 1
LCM(220,1091) = 240020
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 4357/220, 1487/1091?
Answer: GCF of Numerators as per given numbers 4357/220, 1487/1091 is
GCF of Numerators i.e. for 4357,1487 is 1
LCM of denominators i.e. for 220,1091 is 240020.
Thus, GCF of Fractions is 1/240020.Finally, GCF of Fractions for 4357/220, 1487/1091 is 1/240020.