Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 247/15,552/93,864/630
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 247,552,864
Greatest Common Factor of Numerators i.e. GCF of 247,552,864 is 1 .
LCM of Denominators means LCM of 15,93,630 as per the given fractions.
LCM of 15,93,630 is 19530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 247,552,864
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Greatest Common Factor
We found the factors 247,552,864 . The biggest common factor number is the GCF number.
So the greatest common factor 247,552,864 is 1.
Lets's calculate LCM of 15,93,630
3 | 15, 93, 630 |
5 | 5, 31, 210 |
1, 31, 42 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 31 x 42 = 19530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19530
Therefore, the GCF of Fractions 247/15,552/93,864/630 is 1/19530
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 15,93,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,93,630) = 3
common factors(in case of two or more numbers have common factors) = 15
GCF(15,93,630) x common factors =3 x 15 = 45
LCM(15,93,630) = ( 15 × 93 × 630 ) / 45
LCM(15,93,630) = 878850 / 45
LCM(15,93,630) = 19530
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 247/15, 552/93, 864/630?
Answer: GCF of Numerators as per given numbers 247/15, 552/93, 864/630 is
GCF of Numerators i.e. for 247,552,864 is 1
LCM of denominators i.e. for 15,93,630 is 19530.
Thus, GCF of Fractions is 1/19530.Finally, GCF of Fractions for 247/15, 552/93, 864/630 is 1/19530.