Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/33,99/17,49/44,893/55
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 94,99,49,893
Greatest Common Factor of Numerators i.e. GCF of 94,99,49,893 is 1 .
LCM of Denominators means LCM of 33,17,44,55 as per the given fractions.
LCM of 33,17,44,55 is 11220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,99,49,893
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Greatest Common Factor
We found the factors 94,99,49,893 . The biggest common factor number is the GCF number.
So the greatest common factor 94,99,49,893 is 1.
Lets's calculate LCM of 33,17,44,55
11 | 33, 17, 44, 55 |
3, 17, 4, 5 |
∴ So the LCM of the given numbers is 11 x 3 x 17 x 4 x 5 = 11220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11220
Therefore, the GCF of Fractions 94/33,99/17,49/44,893/55 is 1/11220
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 33,17,44,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,17,44,55) = 1
common factors(in case of two or more numbers have common factors) = 121
GCF(33,17,44,55) x common factors =1 x 121 = 121
LCM(33,17,44,55) = ( 33 × 17 × 44 × 55 ) / 121
LCM(33,17,44,55) = 1357620 / 121
LCM(33,17,44,55) = 11220
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 94/33, 99/17, 49/44, 893/55?
Answer: GCF of Numerators as per given numbers 94/33, 99/17, 49/44, 893/55 is
GCF of Numerators i.e. for 94,99,49,893 is 1
LCM of denominators i.e. for 33,17,44,55 is 11220.
Thus, GCF of Fractions is 1/11220.Finally, GCF of Fractions for 94/33, 99/17, 49/44, 893/55 is 1/11220.