Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8537/909,1400/363
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 8537,1400
Greatest Common Factor of Numerators i.e. GCF of 8537,1400 is 1 .
LCM of Denominators means LCM of 909,363 as per the given fractions.
LCM of 909,363 is 109989 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8537,1400
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8537
List of positive integer factors of 8537 that divides 8537 without a remainder.
1,8537
Factors of 1400
List of positive integer factors of 1400 that divides 1400 without a remainder.
1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400
Greatest Common Factor
We found the factors 8537,1400 . The biggest common factor number is the GCF number.
So the greatest common factor 8537,1400 is 1.
Lets's calculate LCM of 909,363
3 | 909, 363 |
303, 121 |
∴ So the LCM of the given numbers is 3 x 303 x 121 = 109989
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109989
Therefore, the GCF of Fractions 8537/909,1400/363 is 1/109989
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 909,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,363) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(909,363) x common factors =3 x 1 = 3
LCM(909,363) = ( 909 × 363 ) / 3
LCM(909,363) = 329967 / 3
LCM(909,363) = 109989
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 8537/909, 1400/363?
Answer: GCF of Numerators as per given numbers 8537/909, 1400/363 is
GCF of Numerators i.e. for 8537,1400 is 1
LCM of denominators i.e. for 909,363 is 109989.
Thus, GCF of Fractions is 1/109989.Finally, GCF of Fractions for 8537/909, 1400/363 is 1/109989.