Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 600/49,890/97,560/205
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 600,890,560
Greatest Common Factor of Numerators i.e. GCF of 600,890,560 is 10 .
LCM of Denominators means LCM of 49,97,205 as per the given fractions.
LCM of 49,97,205 is 974365 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 600,890,560
2 | 600, 890, 560 |
5 | 300, 445, 280 |
60, 89, 56 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 600,890,560 . The biggest common factor number is the GCF number.
So the greatest common factor 600,890,560 is 10.
Lets's calculate LCM of 49,97,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 974365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/974365
Therefore, the GCF of Fractions 600/49,890/97,560/205 is 10/974365
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 49,97,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,97,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,97,205) x common factors =1 x 1 = 1
LCM(49,97,205) = ( 49 × 97 × 205 ) / 1
LCM(49,97,205) = 974365 / 1
LCM(49,97,205) = 974365
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 600/49, 890/97, 560/205?
Answer: GCF of Numerators as per given numbers 600/49, 890/97, 560/205 is
GCF of Numerators i.e. for 600,890,560 is 10
LCM of denominators i.e. for 49,97,205 is 974365.
Thus, GCF of Fractions is 10/974365.Finally, GCF of Fractions for 600/49, 890/97, 560/205 is 10/974365.