Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/90,807/51,510/44
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 6,807,510
Greatest Common Factor of Numerators i.e. GCF of 6,807,510 is 3 .
LCM of Denominators means LCM of 90,51,44 as per the given fractions.
LCM of 90,51,44 is 33660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,807,510
3 | 6, 807, 510 |
2, 269, 170 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
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
Greatest Common Factor
We found the factors 6,807,510 . The biggest common factor number is the GCF number.
So the greatest common factor 6,807,510 is 3.
Lets's calculate LCM of 90,51,44
2 | 90, 51, 44 |
3 | 45, 51, 22 |
15, 17, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 17 x 22 = 33660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33660
Therefore, the GCF of Fractions 6/90,807/51,510/44 is 3/33660
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 90,51,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,51,44) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(90,51,44) x common factors =1 x 6 = 6
LCM(90,51,44) = ( 90 × 51 × 44 ) / 6
LCM(90,51,44) = 201960 / 6
LCM(90,51,44) = 33660
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 6/90, 807/51, 510/44?
Answer: GCF of Numerators as per given numbers 6/90, 807/51, 510/44 is
GCF of Numerators i.e. for 6,807,510 is 3
LCM of denominators i.e. for 90,51,44 is 33660.
Thus, GCF of Fractions is 3/33660.Finally, GCF of Fractions for 6/90, 807/51, 510/44 is 3/33660.