Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 510/984,318/692,305/711
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 510,318,305
Greatest Common Factor of Numerators i.e. GCF of 510,318,305 is 1 .
LCM of Denominators means LCM of 984,692,711 as per the given fractions.
LCM of 984,692,711 is 40344984 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 510,318,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Greatest Common Factor
We found the factors 510,318,305 . The biggest common factor number is the GCF number.
So the greatest common factor 510,318,305 is 1.
Lets's calculate LCM of 984,692,711
2 | 984, 692, 711 |
2 | 492, 346, 711 |
3 | 246, 173, 711 |
82, 173, 237 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 82 x 173 x 237 = 40344984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40344984
Therefore, the GCF of Fractions 510/984,318/692,305/711 is 1/40344984
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 984,692,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,692,711) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(984,692,711) x common factors =1 x 12 = 12
LCM(984,692,711) = ( 984 × 692 × 711 ) / 12
LCM(984,692,711) = 484139808 / 12
LCM(984,692,711) = 40344984
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 510/984, 318/692, 305/711?
Answer: GCF of Numerators as per given numbers 510/984, 318/692, 305/711 is
GCF of Numerators i.e. for 510,318,305 is 1
LCM of denominators i.e. for 984,692,711 is 40344984.
Thus, GCF of Fractions is 1/40344984.Finally, GCF of Fractions for 510/984, 318/692, 305/711 is 1/40344984.