Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/97,99/38,220/554
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 44,99,220
Greatest Common Factor of Numerators i.e. GCF of 44,99,220 is 11 .
LCM of Denominators means LCM of 97,38,554 as per the given fractions.
LCM of 97,38,554 is 1021022 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,99,220
11 | 44, 99, 220 |
4, 9, 20 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 44,99,220 . The biggest common factor number is the GCF number.
So the greatest common factor 44,99,220 is 11.
Lets's calculate LCM of 97,38,554
2 | 97, 38, 554 |
97, 19, 277 |
∴ So the LCM of the given numbers is 2 x 97 x 19 x 277 = 1021022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1021022
Therefore, the GCF of Fractions 44/97,99/38,220/554 is 11/1021022
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 97,38,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,38,554) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(97,38,554) x common factors =1 x 2 = 2
LCM(97,38,554) = ( 97 × 38 × 554 ) / 2
LCM(97,38,554) = 2042044 / 2
LCM(97,38,554) = 1021022
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 44/97, 99/38, 220/554?
Answer: GCF of Numerators as per given numbers 44/97, 99/38, 220/554 is
GCF of Numerators i.e. for 44,99,220 is 11
LCM of denominators i.e. for 97,38,554 is 1021022.
Thus, GCF of Fractions is 11/1021022.Finally, GCF of Fractions for 44/97, 99/38, 220/554 is 11/1021022.