Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/88,535/83,290/60
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 3,535,290
Greatest Common Factor of Numerators i.e. GCF of 3,535,290 is 1 .
LCM of Denominators means LCM of 88,83,60 as per the given fractions.
LCM of 88,83,60 is 109560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,535,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 3,535,290 . The biggest common factor number is the GCF number.
So the greatest common factor 3,535,290 is 1.
Lets's calculate LCM of 88,83,60
2 | 88, 83, 60 |
2 | 44, 83, 30 |
22, 83, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 22 x 83 x 15 = 109560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109560
Therefore, the GCF of Fractions 3/88,535/83,290/60 is 1/109560
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 88,83,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,83,60) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(88,83,60) x common factors =1 x 4 = 4
LCM(88,83,60) = ( 88 × 83 × 60 ) / 4
LCM(88,83,60) = 438240 / 4
LCM(88,83,60) = 109560
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 3/88, 535/83, 290/60?
Answer: GCF of Numerators as per given numbers 3/88, 535/83, 290/60 is
GCF of Numerators i.e. for 3,535,290 is 1
LCM of denominators i.e. for 88,83,60 is 109560.
Thus, GCF of Fractions is 1/109560.Finally, GCF of Fractions for 3/88, 535/83, 290/60 is 1/109560.