Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/74,70/35,294/218
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 18,70,294
Greatest Common Factor of Numerators i.e. GCF of 18,70,294 is 2 .
LCM of Denominators means LCM of 74,35,218 as per the given fractions.
LCM of 74,35,218 is 282310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,70,294
2 | 18, 70, 294 |
9, 35, 147 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
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 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 18,70,294 . The biggest common factor number is the GCF number.
So the greatest common factor 18,70,294 is 2.
Lets's calculate LCM of 74,35,218
2 | 74, 35, 218 |
37, 35, 109 |
∴ So the LCM of the given numbers is 2 x 37 x 35 x 109 = 282310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/282310
Therefore, the GCF of Fractions 18/74,70/35,294/218 is 2/282310
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 74,35,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,35,218) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,35,218) x common factors =1 x 2 = 2
LCM(74,35,218) = ( 74 × 35 × 218 ) / 2
LCM(74,35,218) = 564620 / 2
LCM(74,35,218) = 282310
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 18/74, 70/35, 294/218?
Answer: GCF of Numerators as per given numbers 18/74, 70/35, 294/218 is
GCF of Numerators i.e. for 18,70,294 is 2
LCM of denominators i.e. for 74,35,218 is 282310.
Thus, GCF of Fractions is 2/282310.Finally, GCF of Fractions for 18/74, 70/35, 294/218 is 2/282310.