Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 819/65,278/84,221/511
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 819,278,221
Greatest Common Factor of Numerators i.e. GCF of 819,278,221 is 1 .
LCM of Denominators means LCM of 65,84,511 as per the given fractions.
LCM of 65,84,511 is 398580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 819,278,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Greatest Common Factor
We found the factors 819,278,221 . The biggest common factor number is the GCF number.
So the greatest common factor 819,278,221 is 1.
Lets's calculate LCM of 65,84,511
7 | 65, 84, 511 |
65, 12, 73 |
∴ So the LCM of the given numbers is 7 x 65 x 12 x 73 = 398580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398580
Therefore, the GCF of Fractions 819/65,278/84,221/511 is 1/398580
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 65,84,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,84,511) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(65,84,511) x common factors =1 x 7 = 7
LCM(65,84,511) = ( 65 × 84 × 511 ) / 7
LCM(65,84,511) = 2790060 / 7
LCM(65,84,511) = 398580
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 819/65, 278/84, 221/511?
Answer: GCF of Numerators as per given numbers 819/65, 278/84, 221/511 is
GCF of Numerators i.e. for 819,278,221 is 1
LCM of denominators i.e. for 65,84,511 is 398580.
Thus, GCF of Fractions is 1/398580.Finally, GCF of Fractions for 819/65, 278/84, 221/511 is 1/398580.