Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 574/97,246/15,440/21
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 574,246,440
Greatest Common Factor of Numerators i.e. GCF of 574,246,440 is 2 .
LCM of Denominators means LCM of 97,15,21 as per the given fractions.
LCM of 97,15,21 is 10185 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 574,246,440
2 | 574, 246, 440 |
287, 123, 220 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 574,246,440 . The biggest common factor number is the GCF number.
So the greatest common factor 574,246,440 is 2.
Lets's calculate LCM of 97,15,21
3 | 97, 15, 21 |
97, 5, 7 |
∴ So the LCM of the given numbers is 3 x 97 x 5 x 7 = 10185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10185
Therefore, the GCF of Fractions 574/97,246/15,440/21 is 2/10185
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 97,15,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,15,21) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(97,15,21) x common factors =1 x 3 = 3
LCM(97,15,21) = ( 97 × 15 × 21 ) / 3
LCM(97,15,21) = 30555 / 3
LCM(97,15,21) = 10185
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 574/97, 246/15, 440/21?
Answer: GCF of Numerators as per given numbers 574/97, 246/15, 440/21 is
GCF of Numerators i.e. for 574,246,440 is 2
LCM of denominators i.e. for 97,15,21 is 10185.
Thus, GCF of Fractions is 2/10185.Finally, GCF of Fractions for 574/97, 246/15, 440/21 is 2/10185.