Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/45,45/72,32/516,348/390
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 5,45,32,348
Greatest Common Factor of Numerators i.e. GCF of 5,45,32,348 is 1 .
LCM of Denominators means LCM of 45,72,516,390 as per the given fractions.
LCM of 45,72,516,390 is 201240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,45,32,348
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Greatest Common Factor
We found the factors 5,45,32,348 . The biggest common factor number is the GCF number.
So the greatest common factor 5,45,32,348 is 1.
Lets's calculate LCM of 45,72,516,390
2 | 45, 72, 516, 390 |
2 | 45, 36, 258, 195 |
3 | 45, 18, 129, 195 |
3 | 15, 6, 43, 65 |
5 | 5, 2, 43, 65 |
1, 2, 43, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 2 x 43 x 13 = 201240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201240
Therefore, the GCF of Fractions 5/45,45/72,32/516,348/390 is 1/201240
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 45,72,516,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,72,516,390) = 3
common factors(in case of two or more numbers have common factors) = 1080
GCF(45,72,516,390) x common factors =3 x 1080 = 3240
LCM(45,72,516,390) = ( 45 × 72 × 516 × 390 ) / 3240
LCM(45,72,516,390) = 652017600 / 3240
LCM(45,72,516,390) = 201240
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 5/45, 45/72, 32/516, 348/390?
Answer: GCF of Numerators as per given numbers 5/45, 45/72, 32/516, 348/390 is
GCF of Numerators i.e. for 5,45,32,348 is 1
LCM of denominators i.e. for 45,72,516,390 is 201240.
Thus, GCF of Fractions is 1/201240.Finally, GCF of Fractions for 5/45, 45/72, 32/516, 348/390 is 1/201240.