Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 218/43,720/99,553/678
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 218,720,553
Greatest Common Factor of Numerators i.e. GCF of 218,720,553 is 1 .
LCM of Denominators means LCM of 43,99,678 as per the given fractions.
LCM of 43,99,678 is 962082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 218,720,553
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Greatest Common Factor
We found the factors 218,720,553 . The biggest common factor number is the GCF number.
So the greatest common factor 218,720,553 is 1.
Lets's calculate LCM of 43,99,678
3 | 43, 99, 678 |
43, 33, 226 |
∴ So the LCM of the given numbers is 3 x 43 x 33 x 226 = 962082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/962082
Therefore, the GCF of Fractions 218/43,720/99,553/678 is 1/962082
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 43,99,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,99,678) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(43,99,678) x common factors =1 x 3 = 3
LCM(43,99,678) = ( 43 × 99 × 678 ) / 3
LCM(43,99,678) = 2886246 / 3
LCM(43,99,678) = 962082
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 218/43, 720/99, 553/678?
Answer: GCF of Numerators as per given numbers 218/43, 720/99, 553/678 is
GCF of Numerators i.e. for 218,720,553 is 1
LCM of denominators i.e. for 43,99,678 is 962082.
Thus, GCF of Fractions is 1/962082.Finally, GCF of Fractions for 218/43, 720/99, 553/678 is 1/962082.