Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4203/249,5274/745
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 4203,5274
Greatest Common Factor of Numerators i.e. GCF of 4203,5274 is 9 .
LCM of Denominators means LCM of 249,745 as per the given fractions.
LCM of 249,745 is 185505 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4203,5274
3 | 4203, 5274 |
3 | 1401, 1758 |
467, 586 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 4203
List of positive integer factors of 4203 that divides 4203 without a remainder.
1,3,9,467,1401,4203
Factors of 5274
List of positive integer factors of 5274 that divides 5274 without a remainder.
1,2,3,6,9,18,293,586,879,1758,2637,5274
Greatest Common Factor
We found the factors 4203,5274 . The biggest common factor number is the GCF number.
So the greatest common factor 4203,5274 is 9.
Lets's calculate LCM of 249,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 185505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/185505
Therefore, the GCF of Fractions 4203/249,5274/745 is 9/185505
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 249,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,745) x common factors =1 x 1 = 1
LCM(249,745) = ( 249 × 745 ) / 1
LCM(249,745) = 185505 / 1
LCM(249,745) = 185505
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 4203/249, 5274/745?
Answer: GCF of Numerators as per given numbers 4203/249, 5274/745 is
GCF of Numerators i.e. for 4203,5274 is 9
LCM of denominators i.e. for 249,745 is 185505.
Thus, GCF of Fractions is 9/185505.Finally, GCF of Fractions for 4203/249, 5274/745 is 9/185505.