Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2335/669,4230/1451
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 2335,4230
Greatest Common Factor of Numerators i.e. GCF of 2335,4230 is 5 .
LCM of Denominators means LCM of 669,1451 as per the given fractions.
LCM of 669,1451 is 970719 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2335,4230
5 | 2335, 4230 |
467, 846 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 2335
List of positive integer factors of 2335 that divides 2335 without a remainder.
1,5,467,2335
Factors of 4230
List of positive integer factors of 4230 that divides 4230 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230
Greatest Common Factor
We found the factors 2335,4230 . The biggest common factor number is the GCF number.
So the greatest common factor 2335,4230 is 5.
Lets's calculate LCM of 669,1451
Given numbers has no common factors except 1. So, there LCM is their product i.e 970719
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/970719
Therefore, the GCF of Fractions 2335/669,4230/1451 is 5/970719
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 669,1451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,1451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,1451) x common factors =1 x 1 = 1
LCM(669,1451) = ( 669 × 1451 ) / 1
LCM(669,1451) = 970719 / 1
LCM(669,1451) = 970719
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 2335/669, 4230/1451?
Answer: GCF of Numerators as per given numbers 2335/669, 4230/1451 is
GCF of Numerators i.e. for 2335,4230 is 5
LCM of denominators i.e. for 669,1451 is 970719.
Thus, GCF of Fractions is 5/970719.Finally, GCF of Fractions for 2335/669, 4230/1451 is 5/970719.