Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 270/61,364/71,974/68
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 270,364,974
Greatest Common Factor of Numerators i.e. GCF of 270,364,974 is 2 .
LCM of Denominators means LCM of 61,71,68 as per the given fractions.
LCM of 61,71,68 is 294508 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 270,364,974
2 | 270, 364, 974 |
135, 182, 487 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 270,364,974 . The biggest common factor number is the GCF number.
So the greatest common factor 270,364,974 is 2.
Lets's calculate LCM of 61,71,68
Given numbers has no common factors except 1. So, there LCM is their product i.e 294508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/294508
Therefore, the GCF of Fractions 270/61,364/71,974/68 is 2/294508
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 61,71,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,71,68) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,71,68) x common factors =1 x 1 = 1
LCM(61,71,68) = ( 61 × 71 × 68 ) / 1
LCM(61,71,68) = 294508 / 1
LCM(61,71,68) = 294508
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 270/61, 364/71, 974/68?
Answer: GCF of Numerators as per given numbers 270/61, 364/71, 974/68 is
GCF of Numerators i.e. for 270,364,974 is 2
LCM of denominators i.e. for 61,71,68 is 294508.
Thus, GCF of Fractions is 2/294508.Finally, GCF of Fractions for 270/61, 364/71, 974/68 is 2/294508.