Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/324,42/643,711/653
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 27,42,711
Greatest Common Factor of Numerators i.e. GCF of 27,42,711 is 3 .
LCM of Denominators means LCM of 324,643,653 as per the given fractions.
LCM of 324,643,653 is 136040796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,42,711
3 | 27, 42, 711 |
9, 14, 237 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Greatest Common Factor
We found the factors 27,42,711 . The biggest common factor number is the GCF number.
So the greatest common factor 27,42,711 is 3.
Lets's calculate LCM of 324,643,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 136040796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/136040796
Therefore, the GCF of Fractions 27/324,42/643,711/653 is 3/136040796
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 324,643,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,643,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,643,653) x common factors =1 x 1 = 1
LCM(324,643,653) = ( 324 × 643 × 653 ) / 1
LCM(324,643,653) = 136040796 / 1
LCM(324,643,653) = 136040796
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 27/324, 42/643, 711/653?
Answer: GCF of Numerators as per given numbers 27/324, 42/643, 711/653 is
GCF of Numerators i.e. for 27,42,711 is 3
LCM of denominators i.e. for 324,643,653 is 136040796.
Thus, GCF of Fractions is 3/136040796.Finally, GCF of Fractions for 27/324, 42/643, 711/653 is 3/136040796.