Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/18,10/91,22/448,757/248
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 3,10,22,757
Greatest Common Factor of Numerators i.e. GCF of 3,10,22,757 is 1 .
LCM of Denominators means LCM of 18,91,448,248 as per the given fractions.
LCM of 18,91,448,248 is 1624896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,10,22,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Greatest Common Factor
We found the factors 3,10,22,757 . The biggest common factor number is the GCF number.
So the greatest common factor 3,10,22,757 is 1.
Lets's calculate LCM of 18,91,448,248
2 | 18, 91, 448, 248 |
2 | 9, 91, 224, 124 |
2 | 9, 91, 112, 62 |
7 | 9, 91, 56, 31 |
9, 13, 8, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 9 x 13 x 8 x 31 = 1624896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624896
Therefore, the GCF of Fractions 3/18,10/91,22/448,757/248 is 1/1624896
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 18,91,448,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,91,448,248) = 1
common factors(in case of two or more numbers have common factors) = 112
GCF(18,91,448,248) x common factors =1 x 112 = 112
LCM(18,91,448,248) = ( 18 × 91 × 448 × 248 ) / 112
LCM(18,91,448,248) = 181988352 / 112
LCM(18,91,448,248) = 1624896
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 3/18, 10/91, 22/448, 757/248?
Answer: GCF of Numerators as per given numbers 3/18, 10/91, 22/448, 757/248 is
GCF of Numerators i.e. for 3,10,22,757 is 1
LCM of denominators i.e. for 18,91,448,248 is 1624896.
Thus, GCF of Fractions is 1/1624896.Finally, GCF of Fractions for 3/18, 10/91, 22/448, 757/248 is 1/1624896.