Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3529/45,9203/951
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 3529,9203
Greatest Common Factor of Numerators i.e. GCF of 3529,9203 is 1 .
LCM of Denominators means LCM of 45,951 as per the given fractions.
LCM of 45,951 is 14265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3529,9203
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3529
List of positive integer factors of 3529 that divides 3529 without a remainder.
1,3529
Factors of 9203
List of positive integer factors of 9203 that divides 9203 without a remainder.
1,9203
Greatest Common Factor
We found the factors 3529,9203 . The biggest common factor number is the GCF number.
So the greatest common factor 3529,9203 is 1.
Lets's calculate LCM of 45,951
3 | 45, 951 |
15, 317 |
∴ So the LCM of the given numbers is 3 x 15 x 317 = 14265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14265
Therefore, the GCF of Fractions 3529/45,9203/951 is 1/14265
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 45,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,951) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(45,951) x common factors =3 x 1 = 3
LCM(45,951) = ( 45 × 951 ) / 3
LCM(45,951) = 42795 / 3
LCM(45,951) = 14265
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 3529/45, 9203/951?
Answer: GCF of Numerators as per given numbers 3529/45, 9203/951 is
GCF of Numerators i.e. for 3529,9203 is 1
LCM of denominators i.e. for 45,951 is 14265.
Thus, GCF of Fractions is 1/14265.Finally, GCF of Fractions for 3529/45, 9203/951 is 1/14265.