Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8434/398,2810/7312
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 8434,2810
Greatest Common Factor of Numerators i.e. GCF of 8434,2810 is 2 .
LCM of Denominators means LCM of 398,7312 as per the given fractions.
LCM of 398,7312 is 1455088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8434,2810
2 | 8434, 2810 |
4217, 1405 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8434
List of positive integer factors of 8434 that divides 8434 without a remainder.
1,2,4217,8434
Factors of 2810
List of positive integer factors of 2810 that divides 2810 without a remainder.
1,2,5,10,281,562,1405,2810
Greatest Common Factor
We found the factors 8434,2810 . The biggest common factor number is the GCF number.
So the greatest common factor 8434,2810 is 2.
Lets's calculate LCM of 398,7312
2 | 398, 7312 |
199, 3656 |
∴ So the LCM of the given numbers is 2 x 199 x 3656 = 1455088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1455088
Therefore, the GCF of Fractions 8434/398,2810/7312 is 2/1455088
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 398,7312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,7312) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,7312) x common factors =2 x 1 = 2
LCM(398,7312) = ( 398 × 7312 ) / 2
LCM(398,7312) = 2910176 / 2
LCM(398,7312) = 1455088
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 8434/398, 2810/7312?
Answer: GCF of Numerators as per given numbers 8434/398, 2810/7312 is
GCF of Numerators i.e. for 8434,2810 is 2
LCM of denominators i.e. for 398,7312 is 1455088.
Thus, GCF of Fractions is 2/1455088.Finally, GCF of Fractions for 8434/398, 2810/7312 is 2/1455088.