Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1654/58,3653/363
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 1654,3653
Greatest Common Factor of Numerators i.e. GCF of 1654,3653 is 1 .
LCM of Denominators means LCM of 58,363 as per the given fractions.
LCM of 58,363 is 21054 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1654,3653
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1654
List of positive integer factors of 1654 that divides 1654 without a remainder.
1,2,827,1654
Factors of 3653
List of positive integer factors of 3653 that divides 3653 without a remainder.
1,13,281,3653
Greatest Common Factor
We found the factors 1654,3653 . The biggest common factor number is the GCF number.
So the greatest common factor 1654,3653 is 1.
Lets's calculate LCM of 58,363
Given numbers has no common factors except 1. So, there LCM is their product i.e 21054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21054
Therefore, the GCF of Fractions 1654/58,3653/363 is 1/21054
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 58,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,363) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,363) x common factors =1 x 1 = 1
LCM(58,363) = ( 58 × 363 ) / 1
LCM(58,363) = 21054 / 1
LCM(58,363) = 21054
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 1654/58, 3653/363?
Answer: GCF of Numerators as per given numbers 1654/58, 3653/363 is
GCF of Numerators i.e. for 1654,3653 is 1
LCM of denominators i.e. for 58,363 is 21054.
Thus, GCF of Fractions is 1/21054.Finally, GCF of Fractions for 1654/58, 3653/363 is 1/21054.