Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 482/310,693/493,163/644
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 482,693,163
Greatest Common Factor of Numerators i.e. GCF of 482,693,163 is 1 .
LCM of Denominators means LCM of 310,493,644 as per the given fractions.
LCM of 310,493,644 is 49211260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 482,693,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Greatest Common Factor
We found the factors 482,693,163 . The biggest common factor number is the GCF number.
So the greatest common factor 482,693,163 is 1.
Lets's calculate LCM of 310,493,644
2 | 310, 493, 644 |
155, 493, 322 |
∴ So the LCM of the given numbers is 2 x 155 x 493 x 322 = 49211260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49211260
Therefore, the GCF of Fractions 482/310,693/493,163/644 is 1/49211260
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 310,493,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,493,644) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(310,493,644) x common factors =1 x 2 = 2
LCM(310,493,644) = ( 310 × 493 × 644 ) / 2
LCM(310,493,644) = 98422520 / 2
LCM(310,493,644) = 49211260
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 482/310, 693/493, 163/644?
Answer: GCF of Numerators as per given numbers 482/310, 693/493, 163/644 is
GCF of Numerators i.e. for 482,693,163 is 1
LCM of denominators i.e. for 310,493,644 is 49211260.
Thus, GCF of Fractions is 1/49211260.Finally, GCF of Fractions for 482/310, 693/493, 163/644 is 1/49211260.