Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/97,60/80,83/35,659/84
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 33,60,83,659
Greatest Common Factor of Numerators i.e. GCF of 33,60,83,659 is 1 .
LCM of Denominators means LCM of 97,80,35,84 as per the given fractions.
LCM of 97,80,35,84 is 162960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 33,60,83,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Greatest Common Factor
We found the factors 33,60,83,659 . The biggest common factor number is the GCF number.
So the greatest common factor 33,60,83,659 is 1.
Lets's calculate LCM of 97,80,35,84
2 | 97, 80, 35, 84 |
2 | 97, 40, 35, 42 |
5 | 97, 20, 35, 21 |
7 | 97, 4, 7, 21 |
97, 4, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 97 x 4 x 1 x 3 = 162960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162960
Therefore, the GCF of Fractions 33/97,60/80,83/35,659/84 is 1/162960
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 97,80,35,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,80,35,84) = 1
common factors(in case of two or more numbers have common factors) = 140
GCF(97,80,35,84) x common factors =1 x 140 = 140
LCM(97,80,35,84) = ( 97 × 80 × 35 × 84 ) / 140
LCM(97,80,35,84) = 22814400 / 140
LCM(97,80,35,84) = 162960
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 33/97, 60/80, 83/35, 659/84?
Answer: GCF of Numerators as per given numbers 33/97, 60/80, 83/35, 659/84 is
GCF of Numerators i.e. for 33,60,83,659 is 1
LCM of denominators i.e. for 97,80,35,84 is 162960.
Thus, GCF of Fractions is 1/162960.Finally, GCF of Fractions for 33/97, 60/80, 83/35, 659/84 is 1/162960.