Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/86,288/61,543/579
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 807,288,543
Greatest Common Factor of Numerators i.e. GCF of 807,288,543 is 3 .
LCM of Denominators means LCM of 86,61,579 as per the given fractions.
LCM of 86,61,579 is 3037434 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 807,288,543
3 | 807, 288, 543 |
269, 96, 181 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1,3,181,543
Greatest Common Factor
We found the factors 807,288,543 . The biggest common factor number is the GCF number.
So the greatest common factor 807,288,543 is 3.
Lets's calculate LCM of 86,61,579
Given numbers has no common factors except 1. So, there LCM is their product i.e 3037434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3037434
Therefore, the GCF of Fractions 807/86,288/61,543/579 is 3/3037434
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 86,61,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,61,579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,61,579) x common factors =1 x 1 = 1
LCM(86,61,579) = ( 86 × 61 × 579 ) / 1
LCM(86,61,579) = 3037434 / 1
LCM(86,61,579) = 3037434
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 807/86, 288/61, 543/579?
Answer: GCF of Numerators as per given numbers 807/86, 288/61, 543/579 is
GCF of Numerators i.e. for 807,288,543 is 3
LCM of denominators i.e. for 86,61,579 is 3037434.
Thus, GCF of Fractions is 3/3037434.Finally, GCF of Fractions for 807/86, 288/61, 543/579 is 3/3037434.