Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1397/738,3486/4783
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 1397,3486
Greatest Common Factor of Numerators i.e. GCF of 1397,3486 is 1 .
LCM of Denominators means LCM of 738,4783 as per the given fractions.
LCM of 738,4783 is 3529854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1397,3486
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1397
List of positive integer factors of 1397 that divides 1397 without a remainder.
1,11,127,1397
Factors of 3486
List of positive integer factors of 3486 that divides 3486 without a remainder.
1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486
Greatest Common Factor
We found the factors 1397,3486 . The biggest common factor number is the GCF number.
So the greatest common factor 1397,3486 is 1.
Lets's calculate LCM of 738,4783
Given numbers has no common factors except 1. So, there LCM is their product i.e 3529854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3529854
Therefore, the GCF of Fractions 1397/738,3486/4783 is 1/3529854
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 738,4783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,4783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,4783) x common factors =1 x 1 = 1
LCM(738,4783) = ( 738 × 4783 ) / 1
LCM(738,4783) = 3529854 / 1
LCM(738,4783) = 3529854
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 1397/738, 3486/4783?
Answer: GCF of Numerators as per given numbers 1397/738, 3486/4783 is
GCF of Numerators i.e. for 1397,3486 is 1
LCM of denominators i.e. for 738,4783 is 3529854.
Thus, GCF of Fractions is 1/3529854.Finally, GCF of Fractions for 1397/738, 3486/4783 is 1/3529854.