Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3460/732,8247/486
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 3460,8247
Greatest Common Factor of Numerators i.e. GCF of 3460,8247 is 1 .
LCM of Denominators means LCM of 732,486 as per the given fractions.
LCM of 732,486 is 59292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3460,8247
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3460
List of positive integer factors of 3460 that divides 3460 without a remainder.
1,2,4,5,10,20,173,346,692,865,1730,3460
Factors of 8247
List of positive integer factors of 8247 that divides 8247 without a remainder.
1,3,2749,8247
Greatest Common Factor
We found the factors 3460,8247 . The biggest common factor number is the GCF number.
So the greatest common factor 3460,8247 is 1.
Lets's calculate LCM of 732,486
2 | 732, 486 |
3 | 366, 243 |
122, 81 |
∴ So the LCM of the given numbers is 2 x 3 x 122 x 81 = 59292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59292
Therefore, the GCF of Fractions 3460/732,8247/486 is 1/59292
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 732,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,486) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(732,486) x common factors =6 x 1 = 6
LCM(732,486) = ( 732 × 486 ) / 6
LCM(732,486) = 355752 / 6
LCM(732,486) = 59292
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 3460/732, 8247/486?
Answer: GCF of Numerators as per given numbers 3460/732, 8247/486 is
GCF of Numerators i.e. for 3460,8247 is 1
LCM of denominators i.e. for 732,486 is 59292.
Thus, GCF of Fractions is 1/59292.Finally, GCF of Fractions for 3460/732, 8247/486 is 1/59292.