Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7143/217,9858/9320
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 7143,9858
Greatest Common Factor of Numerators i.e. GCF of 7143,9858 is 3 .
LCM of Denominators means LCM of 217,9320 as per the given fractions.
LCM of 217,9320 is 2022440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7143,9858
3 | 7143, 9858 |
2381, 3286 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7143
List of positive integer factors of 7143 that divides 7143 without a remainder.
1,3,2381,7143
Factors of 9858
List of positive integer factors of 9858 that divides 9858 without a remainder.
1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858
Greatest Common Factor
We found the factors 7143,9858 . The biggest common factor number is the GCF number.
So the greatest common factor 7143,9858 is 3.
Lets's calculate LCM of 217,9320
Given numbers has no common factors except 1. So, there LCM is their product i.e 2022440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2022440
Therefore, the GCF of Fractions 7143/217,9858/9320 is 3/2022440
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 217,9320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,9320) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,9320) x common factors =1 x 1 = 1
LCM(217,9320) = ( 217 × 9320 ) / 1
LCM(217,9320) = 2022440 / 1
LCM(217,9320) = 2022440
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 7143/217, 9858/9320?
Answer: GCF of Numerators as per given numbers 7143/217, 9858/9320 is
GCF of Numerators i.e. for 7143,9858 is 3
LCM of denominators i.e. for 217,9320 is 2022440.
Thus, GCF of Fractions is 3/2022440.Finally, GCF of Fractions for 7143/217, 9858/9320 is 3/2022440.