Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 587/64,375/68,890/308
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 587,375,890
Greatest Common Factor of Numerators i.e. GCF of 587,375,890 is 1 .
LCM of Denominators means LCM of 64,68,308 as per the given fractions.
LCM of 64,68,308 is 83776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 587,375,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 587,375,890 . The biggest common factor number is the GCF number.
So the greatest common factor 587,375,890 is 1.
Lets's calculate LCM of 64,68,308
2 | 64, 68, 308 |
2 | 32, 34, 154 |
16, 17, 77 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 17 x 77 = 83776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83776
Therefore, the GCF of Fractions 587/64,375/68,890/308 is 1/83776
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 64,68,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,68,308) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(64,68,308) x common factors =4 x 4 = 16
LCM(64,68,308) = ( 64 × 68 × 308 ) / 16
LCM(64,68,308) = 1340416 / 16
LCM(64,68,308) = 83776
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 587/64, 375/68, 890/308?
Answer: GCF of Numerators as per given numbers 587/64, 375/68, 890/308 is
GCF of Numerators i.e. for 587,375,890 is 1
LCM of denominators i.e. for 64,68,308 is 83776.
Thus, GCF of Fractions is 1/83776.Finally, GCF of Fractions for 587/64, 375/68, 890/308 is 1/83776.