Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3479/302,9903/5637
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 3479,9903
Greatest Common Factor of Numerators i.e. GCF of 3479,9903 is 1 .
LCM of Denominators means LCM of 302,5637 as per the given fractions.
LCM of 302,5637 is 1702374 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3479,9903
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3479
List of positive integer factors of 3479 that divides 3479 without a remainder.
1,7,49,71,497,3479
Factors of 9903
List of positive integer factors of 9903 that divides 9903 without a remainder.
1,3,3301,9903
Greatest Common Factor
We found the factors 3479,9903 . The biggest common factor number is the GCF number.
So the greatest common factor 3479,9903 is 1.
Lets's calculate LCM of 302,5637
Given numbers has no common factors except 1. So, there LCM is their product i.e 1702374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1702374
Therefore, the GCF of Fractions 3479/302,9903/5637 is 1/1702374
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 302,5637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,5637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,5637) x common factors =1 x 1 = 1
LCM(302,5637) = ( 302 × 5637 ) / 1
LCM(302,5637) = 1702374 / 1
LCM(302,5637) = 1702374
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 3479/302, 9903/5637?
Answer: GCF of Numerators as per given numbers 3479/302, 9903/5637 is
GCF of Numerators i.e. for 3479,9903 is 1
LCM of denominators i.e. for 302,5637 is 1702374.
Thus, GCF of Fractions is 1/1702374.Finally, GCF of Fractions for 3479/302, 9903/5637 is 1/1702374.