Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 670/90,600/8818
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 670,600
Greatest Common Factor of Numerators i.e. GCF of 670,600 is 10 .
LCM of Denominators means LCM of 90,8818 as per the given fractions.
LCM of 90,8818 is 396810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 670,600
2 | 670, 600 |
5 | 335, 300 |
67, 60 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
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
Greatest Common Factor
We found the factors 670,600 . The biggest common factor number is the GCF number.
So the greatest common factor 670,600 is 10.
Lets's calculate LCM of 90,8818
2 | 90, 8818 |
45, 4409 |
∴ So the LCM of the given numbers is 2 x 45 x 4409 = 396810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/396810
Therefore, the GCF of Fractions 670/90,600/8818 is 10/396810
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 90,8818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,8818) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(90,8818) x common factors =2 x 1 = 2
LCM(90,8818) = ( 90 × 8818 ) / 2
LCM(90,8818) = 793620 / 2
LCM(90,8818) = 396810
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 670/90, 600/8818?
Answer: GCF of Numerators as per given numbers 670/90, 600/8818 is
GCF of Numerators i.e. for 670,600 is 10
LCM of denominators i.e. for 90,8818 is 396810.
Thus, GCF of Fractions is 10/396810.Finally, GCF of Fractions for 670/90, 600/8818 is 10/396810.