Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/192,280/200
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 35,280
Greatest Common Factor of Numerators i.e. GCF of 35,280 is 35 .
LCM of Denominators means LCM of 192,200 as per the given fractions.
LCM of 192,200 is 4800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 35,280
5 | 35, 280 |
7 | 7, 56 |
1, 8 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 35,280 . The biggest common factor number is the GCF number.
So the greatest common factor 35,280 is 35.
Lets's calculate LCM of 192,200
2 | 192, 200 |
2 | 96, 100 |
2 | 48, 50 |
24, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 24 x 25 = 4800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/4800
Therefore, the GCF of Fractions 35/192,280/200 is 35/4800
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 192,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,200) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(192,200) x common factors =8 x 1 = 8
LCM(192,200) = ( 192 × 200 ) / 8
LCM(192,200) = 38400 / 8
LCM(192,200) = 4800
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 35/192, 280/200?
Answer: GCF of Numerators as per given numbers 35/192, 280/200 is
GCF of Numerators i.e. for 35,280 is 35
LCM of denominators i.e. for 192,200 is 4800.
Thus, GCF of Fractions is 35/4800.Finally, GCF of Fractions for 35/192, 280/200 is 35/4800.