Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/310,9945/667
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 455,9945
Greatest Common Factor of Numerators i.e. GCF of 455,9945 is 65 .
LCM of Denominators means LCM of 310,667 as per the given fractions.
LCM of 310,667 is 206770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 455,9945
5 | 455, 9945 |
13 | 91, 1989 |
7, 153 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 9945
List of positive integer factors of 9945 that divides 9945 without a remainder.
1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945
Greatest Common Factor
We found the factors 455,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 455,9945 is 65.
Lets's calculate LCM of 310,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 206770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/206770
Therefore, the GCF of Fractions 455/310,9945/667 is 65/206770
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 310,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(310,667) x common factors =1 x 1 = 1
LCM(310,667) = ( 310 × 667 ) / 1
LCM(310,667) = 206770 / 1
LCM(310,667) = 206770
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 455/310, 9945/667?
Answer: GCF of Numerators as per given numbers 455/310, 9945/667 is
GCF of Numerators i.e. for 455,9945 is 65
LCM of denominators i.e. for 310,667 is 206770.
Thus, GCF of Fractions is 65/206770.Finally, GCF of Fractions for 455/310, 9945/667 is 65/206770.