Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4450/745,8603/1542
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 4450,8603
Greatest Common Factor of Numerators i.e. GCF of 4450,8603 is 1 .
LCM of Denominators means LCM of 745,1542 as per the given fractions.
LCM of 745,1542 is 1148790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4450,8603
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4450
List of positive integer factors of 4450 that divides 4450 without a remainder.
1,2,5,10,25,50,89,178,445,890,2225,4450
Factors of 8603
List of positive integer factors of 8603 that divides 8603 without a remainder.
1,7,1229,8603
Greatest Common Factor
We found the factors 4450,8603 . The biggest common factor number is the GCF number.
So the greatest common factor 4450,8603 is 1.
Lets's calculate LCM of 745,1542
Given numbers has no common factors except 1. So, there LCM is their product i.e 1148790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1148790
Therefore, the GCF of Fractions 4450/745,8603/1542 is 1/1148790
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 745,1542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,1542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,1542) x common factors =1 x 1 = 1
LCM(745,1542) = ( 745 × 1542 ) / 1
LCM(745,1542) = 1148790 / 1
LCM(745,1542) = 1148790
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 4450/745, 8603/1542?
Answer: GCF of Numerators as per given numbers 4450/745, 8603/1542 is
GCF of Numerators i.e. for 4450,8603 is 1
LCM of denominators i.e. for 745,1542 is 1148790.
Thus, GCF of Fractions is 1/1148790.Finally, GCF of Fractions for 4450/745, 8603/1542 is 1/1148790.