Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/76,19/29,33/140,945/607
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 8,19,33,945
Greatest Common Factor of Numerators i.e. GCF of 8,19,33,945 is 1 .
LCM of Denominators means LCM of 76,29,140,607 as per the given fractions.
LCM of 76,29,140,607 is 46823980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,19,33,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 8,19,33,945 . The biggest common factor number is the GCF number.
So the greatest common factor 8,19,33,945 is 1.
Lets's calculate LCM of 76,29,140,607
2 | 76, 29, 140, 607 |
2 | 38, 29, 70, 607 |
19, 29, 35, 607 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 29 x 35 x 607 = 46823980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46823980
Therefore, the GCF of Fractions 8/76,19/29,33/140,945/607 is 1/46823980
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 76,29,140,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,29,140,607) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(76,29,140,607) x common factors =1 x 4 = 4
LCM(76,29,140,607) = ( 76 × 29 × 140 × 607 ) / 4
LCM(76,29,140,607) = 187295920 / 4
LCM(76,29,140,607) = 46823980
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 8/76, 19/29, 33/140, 945/607?
Answer: GCF of Numerators as per given numbers 8/76, 19/29, 33/140, 945/607 is
GCF of Numerators i.e. for 8,19,33,945 is 1
LCM of denominators i.e. for 76,29,140,607 is 46823980.
Thus, GCF of Fractions is 1/46823980.Finally, GCF of Fractions for 8/76, 19/29, 33/140, 945/607 is 1/46823980.