Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 452/685,608/238,823/744
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 452,608,823
Greatest Common Factor of Numerators i.e. GCF of 452,608,823 is 1 .
LCM of Denominators means LCM of 685,238,744 as per the given fractions.
LCM of 685,238,744 is 60647160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 452,608,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Greatest Common Factor
We found the factors 452,608,823 . The biggest common factor number is the GCF number.
So the greatest common factor 452,608,823 is 1.
Lets's calculate LCM of 685,238,744
2 | 685, 238, 744 |
685, 119, 372 |
∴ So the LCM of the given numbers is 2 x 685 x 119 x 372 = 60647160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60647160
Therefore, the GCF of Fractions 452/685,608/238,823/744 is 1/60647160
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 685,238,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,238,744) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(685,238,744) x common factors =1 x 2 = 2
LCM(685,238,744) = ( 685 × 238 × 744 ) / 2
LCM(685,238,744) = 121294320 / 2
LCM(685,238,744) = 60647160
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 452/685, 608/238, 823/744?
Answer: GCF of Numerators as per given numbers 452/685, 608/238, 823/744 is
GCF of Numerators i.e. for 452,608,823 is 1
LCM of denominators i.e. for 685,238,744 is 60647160.
Thus, GCF of Fractions is 1/60647160.Finally, GCF of Fractions for 452/685, 608/238, 823/744 is 1/60647160.