Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 510/6469,300/6615
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 510,300
Greatest Common Factor of Numerators i.e. GCF of 510,300 is 30 .
LCM of Denominators means LCM of 6469,6615 as per the given fractions.
LCM of 6469,6615 is 42792435 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 510,300
2 | 510, 300 |
3 | 255, 150 |
5 | 85, 50 |
17, 10 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 510,300 . The biggest common factor number is the GCF number.
So the greatest common factor 510,300 is 30.
Lets's calculate LCM of 6469,6615
Given numbers has no common factors except 1. So, there LCM is their product i.e 42792435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/42792435
Therefore, the GCF of Fractions 510/6469,300/6615 is 30/42792435
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 6469,6615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6469,6615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6469,6615) x common factors =1 x 1 = 1
LCM(6469,6615) = ( 6469 × 6615 ) / 1
LCM(6469,6615) = 42792435 / 1
LCM(6469,6615) = 42792435
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 510/6469, 300/6615?
Answer: GCF of Numerators as per given numbers 510/6469, 300/6615 is
GCF of Numerators i.e. for 510,300 is 30
LCM of denominators i.e. for 6469,6615 is 42792435.
Thus, GCF of Fractions is 30/42792435.Finally, GCF of Fractions for 510/6469, 300/6615 is 30/42792435.