Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/98,36/17,90/57,93/37
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 30,36,90,93
Greatest Common Factor of Numerators i.e. GCF of 30,36,90,93 is 3 .
LCM of Denominators means LCM of 98,17,57,37 as per the given fractions.
LCM of 98,17,57,37 is 3513594 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 30,36,90,93
3 | 30, 36, 90, 93 |
10, 12, 30, 31 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Greatest Common Factor
We found the factors 30,36,90,93 . The biggest common factor number is the GCF number.
So the greatest common factor 30,36,90,93 is 3.
Lets's calculate LCM of 98,17,57,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 3513594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3513594
Therefore, the GCF of Fractions 30/98,36/17,90/57,93/37 is 3/3513594
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 98,17,57,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,17,57,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,17,57,37) x common factors =1 x 1 = 1
LCM(98,17,57,37) = ( 98 × 17 × 57 × 37 ) / 1
LCM(98,17,57,37) = 3513594 / 1
LCM(98,17,57,37) = 3513594
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 30/98, 36/17, 90/57, 93/37?
Answer: GCF of Numerators as per given numbers 30/98, 36/17, 90/57, 93/37 is
GCF of Numerators i.e. for 30,36,90,93 is 3
LCM of denominators i.e. for 98,17,57,37 is 3513594.
Thus, GCF of Fractions is 3/3513594.Finally, GCF of Fractions for 30/98, 36/17, 90/57, 93/37 is 3/3513594.