Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 352/60,587/53,687/512
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 352,587,687
Greatest Common Factor of Numerators i.e. GCF of 352,587,687 is 1 .
LCM of Denominators means LCM of 60,53,512 as per the given fractions.
LCM of 60,53,512 is 407040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 352,587,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 352,587,687 . The biggest common factor number is the GCF number.
So the greatest common factor 352,587,687 is 1.
Lets's calculate LCM of 60,53,512
2 | 60, 53, 512 |
2 | 30, 53, 256 |
15, 53, 128 |
∴ So the LCM of the given numbers is 2 x 2 x 15 x 53 x 128 = 407040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407040
Therefore, the GCF of Fractions 352/60,587/53,687/512 is 1/407040
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 60,53,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,53,512) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(60,53,512) x common factors =1 x 4 = 4
LCM(60,53,512) = ( 60 × 53 × 512 ) / 4
LCM(60,53,512) = 1628160 / 4
LCM(60,53,512) = 407040
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 352/60, 587/53, 687/512?
Answer: GCF of Numerators as per given numbers 352/60, 587/53, 687/512 is
GCF of Numerators i.e. for 352,587,687 is 1
LCM of denominators i.e. for 60,53,512 is 407040.
Thus, GCF of Fractions is 1/407040.Finally, GCF of Fractions for 352/60, 587/53, 687/512 is 1/407040.