Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 224/21,223/78,613/684
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 224,223,613
Greatest Common Factor of Numerators i.e. GCF of 224,223,613 is 1 .
LCM of Denominators means LCM of 21,78,684 as per the given fractions.
LCM of 21,78,684 is 62244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 224,223,613
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Greatest Common Factor
We found the factors 224,223,613 . The biggest common factor number is the GCF number.
So the greatest common factor 224,223,613 is 1.
Lets's calculate LCM of 21,78,684
2 | 21, 78, 684 |
3 | 21, 39, 342 |
7, 13, 114 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 114 = 62244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62244
Therefore, the GCF of Fractions 224/21,223/78,613/684 is 1/62244
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 21,78,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,78,684) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(21,78,684) x common factors =3 x 6 = 18
LCM(21,78,684) = ( 21 × 78 × 684 ) / 18
LCM(21,78,684) = 1120392 / 18
LCM(21,78,684) = 62244
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 224/21, 223/78, 613/684?
Answer: GCF of Numerators as per given numbers 224/21, 223/78, 613/684 is
GCF of Numerators i.e. for 224,223,613 is 1
LCM of denominators i.e. for 21,78,684 is 62244.
Thus, GCF of Fractions is 1/62244.Finally, GCF of Fractions for 224/21, 223/78, 613/684 is 1/62244.