Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 511/783,859/820,783/673
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 511,859,783
Greatest Common Factor of Numerators i.e. GCF of 511,859,783 is 1 .
LCM of Denominators means LCM of 783,820,673 as per the given fractions.
LCM of 783,820,673 is 432106380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 511,859,783
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 511,859,783 . The biggest common factor number is the GCF number.
So the greatest common factor 511,859,783 is 1.
Lets's calculate LCM of 783,820,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 432106380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432106380
Therefore, the GCF of Fractions 511/783,859/820,783/673 is 1/432106380
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 783,820,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,820,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,820,673) x common factors =1 x 1 = 1
LCM(783,820,673) = ( 783 × 820 × 673 ) / 1
LCM(783,820,673) = 432106380 / 1
LCM(783,820,673) = 432106380
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 511/783, 859/820, 783/673?
Answer: GCF of Numerators as per given numbers 511/783, 859/820, 783/673 is
GCF of Numerators i.e. for 511,859,783 is 1
LCM of denominators i.e. for 783,820,673 is 432106380.
Thus, GCF of Fractions is 1/432106380.Finally, GCF of Fractions for 511/783, 859/820, 783/673 is 1/432106380.