Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9260/742,4879/3753
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 9260,4879
Greatest Common Factor of Numerators i.e. GCF of 9260,4879 is 1 .
LCM of Denominators means LCM of 742,3753 as per the given fractions.
LCM of 742,3753 is 2784726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9260,4879
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9260
List of positive integer factors of 9260 that divides 9260 without a remainder.
1,2,4,5,10,20,463,926,1852,2315,4630,9260
Factors of 4879
List of positive integer factors of 4879 that divides 4879 without a remainder.
1,7,17,41,119,287,697,4879
Greatest Common Factor
We found the factors 9260,4879 . The biggest common factor number is the GCF number.
So the greatest common factor 9260,4879 is 1.
Lets's calculate LCM of 742,3753
Given numbers has no common factors except 1. So, there LCM is their product i.e 2784726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2784726
Therefore, the GCF of Fractions 9260/742,4879/3753 is 1/2784726
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 742,3753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,3753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,3753) x common factors =1 x 1 = 1
LCM(742,3753) = ( 742 × 3753 ) / 1
LCM(742,3753) = 2784726 / 1
LCM(742,3753) = 2784726
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 9260/742, 4879/3753?
Answer: GCF of Numerators as per given numbers 9260/742, 4879/3753 is
GCF of Numerators i.e. for 9260,4879 is 1
LCM of denominators i.e. for 742,3753 is 2784726.
Thus, GCF of Fractions is 1/2784726.Finally, GCF of Fractions for 9260/742, 4879/3753 is 1/2784726.