Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2055/107,8433/8604
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 2055,8433
Greatest Common Factor of Numerators i.e. GCF of 2055,8433 is 3 .
LCM of Denominators means LCM of 107,8604 as per the given fractions.
LCM of 107,8604 is 920628 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2055,8433
3 | 2055, 8433 |
685, 2811 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2055
List of positive integer factors of 2055 that divides 2055 without a remainder.
1,3,5,15,137,411,685,2055
Factors of 8433
List of positive integer factors of 8433 that divides 8433 without a remainder.
1,3,9,937,2811,8433
Greatest Common Factor
We found the factors 2055,8433 . The biggest common factor number is the GCF number.
So the greatest common factor 2055,8433 is 3.
Lets's calculate LCM of 107,8604
Given numbers has no common factors except 1. So, there LCM is their product i.e 920628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/920628
Therefore, the GCF of Fractions 2055/107,8433/8604 is 3/920628
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 107,8604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,8604) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,8604) x common factors =1 x 1 = 1
LCM(107,8604) = ( 107 × 8604 ) / 1
LCM(107,8604) = 920628 / 1
LCM(107,8604) = 920628
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 2055/107, 8433/8604?
Answer: GCF of Numerators as per given numbers 2055/107, 8433/8604 is
GCF of Numerators i.e. for 2055,8433 is 3
LCM of denominators i.e. for 107,8604 is 920628.
Thus, GCF of Fractions is 3/920628.Finally, GCF of Fractions for 2055/107, 8433/8604 is 3/920628.