Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3090/14,6749/348
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 3090,6749
Greatest Common Factor of Numerators i.e. GCF of 3090,6749 is 1 .
LCM of Denominators means LCM of 14,348 as per the given fractions.
LCM of 14,348 is 2436 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3090,6749
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3090
List of positive integer factors of 3090 that divides 3090 without a remainder.
1,2,3,5,6,10,15,30,103,206,309,515,618,1030,1545,3090
Factors of 6749
List of positive integer factors of 6749 that divides 6749 without a remainder.
1,17,397,6749
Greatest Common Factor
We found the factors 3090,6749 . The biggest common factor number is the GCF number.
So the greatest common factor 3090,6749 is 1.
Lets's calculate LCM of 14,348
2 | 14, 348 |
7, 174 |
∴ So the LCM of the given numbers is 2 x 7 x 174 = 2436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2436
Therefore, the GCF of Fractions 3090/14,6749/348 is 1/2436
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 14,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,348) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,348) x common factors =2 x 1 = 2
LCM(14,348) = ( 14 × 348 ) / 2
LCM(14,348) = 4872 / 2
LCM(14,348) = 2436
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 3090/14, 6749/348?
Answer: GCF of Numerators as per given numbers 3090/14, 6749/348 is
GCF of Numerators i.e. for 3090,6749 is 1
LCM of denominators i.e. for 14,348 is 2436.
Thus, GCF of Fractions is 1/2436.Finally, GCF of Fractions for 3090/14, 6749/348 is 1/2436.