Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2100/258,4350/145
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 2100,4350
Greatest Common Factor of Numerators i.e. GCF of 2100,4350 is 150 .
LCM of Denominators means LCM of 258,145 as per the given fractions.
LCM of 258,145 is 37410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2100,4350
2 | 2100, 4350 |
3 | 1050, 2175 |
5 | 350, 725 |
5 | 70, 145 |
14, 29 |
∴ So the GCF of the given numbers is 2 x 3 x 5 x 5 = 150
Factors of 2100
List of positive integer factors of 2100 that divides 2100 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100
Factors of 4350
List of positive integer factors of 4350 that divides 4350 without a remainder.
1,2,3,5,6,10,15,25,29,30,50,58,75,87,145,150,174,290,435,725,870,1450,2175,4350
Greatest Common Factor
We found the factors 2100,4350 . The biggest common factor number is the GCF number.
So the greatest common factor 2100,4350 is 150.
Lets's calculate LCM of 258,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 37410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 150/37410
Therefore, the GCF of Fractions 2100/258,4350/145 is 150/37410
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 258,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(258,145) x common factors =1 x 1 = 1
LCM(258,145) = ( 258 × 145 ) / 1
LCM(258,145) = 37410 / 1
LCM(258,145) = 37410
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 2100/258, 4350/145?
Answer: GCF of Numerators as per given numbers 2100/258, 4350/145 is
GCF of Numerators i.e. for 2100,4350 is 150
LCM of denominators i.e. for 258,145 is 37410.
Thus, GCF of Fractions is 150/37410.Finally, GCF of Fractions for 2100/258, 4350/145 is 150/37410.