Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 240/9157,940/6283
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 240,940
Greatest Common Factor of Numerators i.e. GCF of 240,940 is 20 .
LCM of Denominators means LCM of 9157,6283 as per the given fractions.
LCM of 9157,6283 is 57533431 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 240,940
2 | 240, 940 |
2 | 120, 470 |
5 | 60, 235 |
12, 47 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 240,940 . The biggest common factor number is the GCF number.
So the greatest common factor 240,940 is 20.
Lets's calculate LCM of 9157,6283
Given numbers has no common factors except 1. So, there LCM is their product i.e 57533431
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/57533431
Therefore, the GCF of Fractions 240/9157,940/6283 is 20/57533431
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 9157,6283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9157,6283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9157,6283) x common factors =1 x 1 = 1
LCM(9157,6283) = ( 9157 × 6283 ) / 1
LCM(9157,6283) = 57533431 / 1
LCM(9157,6283) = 57533431
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 240/9157, 940/6283?
Answer: GCF of Numerators as per given numbers 240/9157, 940/6283 is
GCF of Numerators i.e. for 240,940 is 20
LCM of denominators i.e. for 9157,6283 is 57533431.
Thus, GCF of Fractions is 20/57533431.Finally, GCF of Fractions for 240/9157, 940/6283 is 20/57533431.