Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/12,63/627,207/903
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 70,63,207
Greatest Common Factor of Numerators i.e. GCF of 70,63,207 is 1 .
LCM of Denominators means LCM of 12,627,903 as per the given fractions.
LCM of 12,627,903 is 754908 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,63,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Greatest Common Factor
We found the factors 70,63,207 . The biggest common factor number is the GCF number.
So the greatest common factor 70,63,207 is 1.
Lets's calculate LCM of 12,627,903
3 | 12, 627, 903 |
4, 209, 301 |
∴ So the LCM of the given numbers is 3 x 4 x 209 x 301 = 754908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/754908
Therefore, the GCF of Fractions 70/12,63/627,207/903 is 1/754908
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 12,627,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,627,903) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(12,627,903) x common factors =3 x 3 = 9
LCM(12,627,903) = ( 12 × 627 × 903 ) / 9
LCM(12,627,903) = 6794172 / 9
LCM(12,627,903) = 754908
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 70/12, 63/627, 207/903?
Answer: GCF of Numerators as per given numbers 70/12, 63/627, 207/903 is
GCF of Numerators i.e. for 70,63,207 is 1
LCM of denominators i.e. for 12,627,903 is 754908.
Thus, GCF of Fractions is 1/754908.Finally, GCF of Fractions for 70/12, 63/627, 207/903 is 1/754908.