Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 452/842,509/486
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 452,509
Greatest Common Factor of Numerators i.e. GCF of 452,509 is 1 .
LCM of Denominators means LCM of 842,486 as per the given fractions.
LCM of 842,486 is 204606 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 452,509
∴ 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 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Greatest Common Factor
We found the factors 452,509 . The biggest common factor number is the GCF number.
So the greatest common factor 452,509 is 1.
Lets's calculate LCM of 842,486
2 | 842, 486 |
421, 243 |
∴ So the LCM of the given numbers is 2 x 421 x 243 = 204606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204606
Therefore, the GCF of Fractions 452/842,509/486 is 1/204606
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 842,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,486) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,486) x common factors =2 x 1 = 2
LCM(842,486) = ( 842 × 486 ) / 2
LCM(842,486) = 409212 / 2
LCM(842,486) = 204606
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 452/842, 509/486?
Answer: GCF of Numerators as per given numbers 452/842, 509/486 is
GCF of Numerators i.e. for 452,509 is 1
LCM of denominators i.e. for 842,486 is 204606.
Thus, GCF of Fractions is 1/204606.Finally, GCF of Fractions for 452/842, 509/486 is 1/204606.