Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2699/849,4598/109
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 2699,4598
Greatest Common Factor of Numerators i.e. GCF of 2699,4598 is 1 .
LCM of Denominators means LCM of 849,109 as per the given fractions.
LCM of 849,109 is 92541 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2699,4598
∴ 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 4598
List of positive integer factors of 4598 that divides 4598 without a remainder.
1,2,11,19,22,38,121,209,242,418,2299,4598
Greatest Common Factor
We found the factors 2699,4598 . The biggest common factor number is the GCF number.
So the greatest common factor 2699,4598 is 1.
Lets's calculate LCM of 849,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 92541
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92541
Therefore, the GCF of Fractions 2699/849,4598/109 is 1/92541
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 849,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,109) x common factors =1 x 1 = 1
LCM(849,109) = ( 849 × 109 ) / 1
LCM(849,109) = 92541 / 1
LCM(849,109) = 92541
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 2699/849, 4598/109?
Answer: GCF of Numerators as per given numbers 2699/849, 4598/109 is
GCF of Numerators i.e. for 2699,4598 is 1
LCM of denominators i.e. for 849,109 is 92541.
Thus, GCF of Fractions is 1/92541.Finally, GCF of Fractions for 2699/849, 4598/109 is 1/92541.