Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9830/200,2704/170
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 9830,2704
Greatest Common Factor of Numerators i.e. GCF of 9830,2704 is 2 .
LCM of Denominators means LCM of 200,170 as per the given fractions.
LCM of 200,170 is 3400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9830,2704
2 | 9830, 2704 |
4915, 1352 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9830
List of positive integer factors of 9830 that divides 9830 without a remainder.
1,2,5,10,983,1966,4915,9830
Factors of 2704
List of positive integer factors of 2704 that divides 2704 without a remainder.
1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704
Greatest Common Factor
We found the factors 9830,2704 . The biggest common factor number is the GCF number.
So the greatest common factor 9830,2704 is 2.
Lets's calculate LCM of 200,170
2 | 200, 170 |
5 | 100, 85 |
20, 17 |
∴ So the LCM of the given numbers is 2 x 5 x 20 x 17 = 3400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3400
Therefore, the GCF of Fractions 9830/200,2704/170 is 2/3400
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 200,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,170) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(200,170) x common factors =10 x 1 = 10
LCM(200,170) = ( 200 × 170 ) / 10
LCM(200,170) = 34000 / 10
LCM(200,170) = 3400
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 9830/200, 2704/170?
Answer: GCF of Numerators as per given numbers 9830/200, 2704/170 is
GCF of Numerators i.e. for 9830,2704 is 2
LCM of denominators i.e. for 200,170 is 3400.
Thus, GCF of Fractions is 2/3400.Finally, GCF of Fractions for 9830/200, 2704/170 is 2/3400.