Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8115/22,8700/319
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 8115,8700
Greatest Common Factor of Numerators i.e. GCF of 8115,8700 is 15 .
LCM of Denominators means LCM of 22,319 as per the given fractions.
LCM of 22,319 is 638 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8115,8700
3 | 8115, 8700 |
5 | 2705, 2900 |
541, 580 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 8115
List of positive integer factors of 8115 that divides 8115 without a remainder.
1,3,5,15,541,1623,2705,8115
Factors of 8700
List of positive integer factors of 8700 that divides 8700 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700
Greatest Common Factor
We found the factors 8115,8700 . The biggest common factor number is the GCF number.
So the greatest common factor 8115,8700 is 15.
Lets's calculate LCM of 22,319
11 | 22, 319 |
2, 29 |
∴ So the LCM of the given numbers is 11 x 2 x 29 = 638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/638
Therefore, the GCF of Fractions 8115/22,8700/319 is 15/638
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 22,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,319) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(22,319) x common factors =11 x 1 = 11
LCM(22,319) = ( 22 × 319 ) / 11
LCM(22,319) = 7018 / 11
LCM(22,319) = 638
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 8115/22, 8700/319?
Answer: GCF of Numerators as per given numbers 8115/22, 8700/319 is
GCF of Numerators i.e. for 8115,8700 is 15
LCM of denominators i.e. for 22,319 is 638.
Thus, GCF of Fractions is 15/638.Finally, GCF of Fractions for 8115/22, 8700/319 is 15/638.