Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 123/72,553/6819
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 123,553
Greatest Common Factor of Numerators i.e. GCF of 123,553 is 1 .
LCM of Denominators means LCM of 72,6819 as per the given fractions.
LCM of 72,6819 is 163656 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 123,553
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Greatest Common Factor
We found the factors 123,553 . The biggest common factor number is the GCF number.
So the greatest common factor 123,553 is 1.
Lets's calculate LCM of 72,6819
3 | 72, 6819 |
24, 2273 |
∴ So the LCM of the given numbers is 3 x 24 x 2273 = 163656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163656
Therefore, the GCF of Fractions 123/72,553/6819 is 1/163656
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 72,6819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,6819) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(72,6819) x common factors =3 x 1 = 3
LCM(72,6819) = ( 72 × 6819 ) / 3
LCM(72,6819) = 490968 / 3
LCM(72,6819) = 163656
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 123/72, 553/6819?
Answer: GCF of Numerators as per given numbers 123/72, 553/6819 is
GCF of Numerators i.e. for 123,553 is 1
LCM of denominators i.e. for 72,6819 is 163656.
Thus, GCF of Fractions is 1/163656.Finally, GCF of Fractions for 123/72, 553/6819 is 1/163656.