Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 520/70,300/9188
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 520,300
Greatest Common Factor of Numerators i.e. GCF of 520,300 is 20 .
LCM of Denominators means LCM of 70,9188 as per the given fractions.
LCM of 70,9188 is 321580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 520,300
2 | 520, 300 |
2 | 260, 150 |
5 | 130, 75 |
26, 15 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 520,300 . The biggest common factor number is the GCF number.
So the greatest common factor 520,300 is 20.
Lets's calculate LCM of 70,9188
2 | 70, 9188 |
35, 4594 |
∴ So the LCM of the given numbers is 2 x 35 x 4594 = 321580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/321580
Therefore, the GCF of Fractions 520/70,300/9188 is 20/321580
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 70,9188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,9188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,9188) x common factors =2 x 1 = 2
LCM(70,9188) = ( 70 × 9188 ) / 2
LCM(70,9188) = 643160 / 2
LCM(70,9188) = 321580
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 520/70, 300/9188?
Answer: GCF of Numerators as per given numbers 520/70, 300/9188 is
GCF of Numerators i.e. for 520,300 is 20
LCM of denominators i.e. for 70,9188 is 321580.
Thus, GCF of Fractions is 20/321580.Finally, GCF of Fractions for 520/70, 300/9188 is 20/321580.