Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2699/45,2703/926
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 2699,2703
Greatest Common Factor of Numerators i.e. GCF of 2699,2703 is 1 .
LCM of Denominators means LCM of 45,926 as per the given fractions.
LCM of 45,926 is 41670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2699,2703
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2699
List of positive integer factors of 2699 that divides 2699 without a remainder.
1,2699
Factors of 2703
List of positive integer factors of 2703 that divides 2703 without a remainder.
1,3,17,51,53,159,901,2703
Greatest Common Factor
We found the factors 2699,2703 . The biggest common factor number is the GCF number.
So the greatest common factor 2699,2703 is 1.
Lets's calculate LCM of 45,926
Given numbers has no common factors except 1. So, there LCM is their product i.e 41670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41670
Therefore, the GCF of Fractions 2699/45,2703/926 is 1/41670
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 45,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,926) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,926) x common factors =1 x 1 = 1
LCM(45,926) = ( 45 × 926 ) / 1
LCM(45,926) = 41670 / 1
LCM(45,926) = 41670
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 2699/45, 2703/926?
Answer: GCF of Numerators as per given numbers 2699/45, 2703/926 is
GCF of Numerators i.e. for 2699,2703 is 1
LCM of denominators i.e. for 45,926 is 41670.
Thus, GCF of Fractions is 1/41670.Finally, GCF of Fractions for 2699/45, 2703/926 is 1/41670.