Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 506/241,9706/7020
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 506,9706
Greatest Common Factor of Numerators i.e. GCF of 506,9706 is 46 .
LCM of Denominators means LCM of 241,7020 as per the given fractions.
LCM of 241,7020 is 1691820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 506,9706
2 | 506, 9706 |
23 | 253, 4853 |
11, 211 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 9706
List of positive integer factors of 9706 that divides 9706 without a remainder.
1,2,23,46,211,422,4853,9706
Greatest Common Factor
We found the factors 506,9706 . The biggest common factor number is the GCF number.
So the greatest common factor 506,9706 is 46.
Lets's calculate LCM of 241,7020
Given numbers has no common factors except 1. So, there LCM is their product i.e 1691820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/1691820
Therefore, the GCF of Fractions 506/241,9706/7020 is 46/1691820
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 241,7020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,7020) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,7020) x common factors =1 x 1 = 1
LCM(241,7020) = ( 241 × 7020 ) / 1
LCM(241,7020) = 1691820 / 1
LCM(241,7020) = 1691820
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 506/241, 9706/7020?
Answer: GCF of Numerators as per given numbers 506/241, 9706/7020 is
GCF of Numerators i.e. for 506,9706 is 46
LCM of denominators i.e. for 241,7020 is 1691820.
Thus, GCF of Fractions is 46/1691820.Finally, GCF of Fractions for 506/241, 9706/7020 is 46/1691820.