Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4869/446,4642/805
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 4869,4642
Greatest Common Factor of Numerators i.e. GCF of 4869,4642 is 1 .
LCM of Denominators means LCM of 446,805 as per the given fractions.
LCM of 446,805 is 359030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4869,4642
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4869
List of positive integer factors of 4869 that divides 4869 without a remainder.
1,3,9,541,1623,4869
Factors of 4642
List of positive integer factors of 4642 that divides 4642 without a remainder.
1,2,11,22,211,422,2321,4642
Greatest Common Factor
We found the factors 4869,4642 . The biggest common factor number is the GCF number.
So the greatest common factor 4869,4642 is 1.
Lets's calculate LCM of 446,805
Given numbers has no common factors except 1. So, there LCM is their product i.e 359030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359030
Therefore, the GCF of Fractions 4869/446,4642/805 is 1/359030
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 446,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,805) x common factors =1 x 1 = 1
LCM(446,805) = ( 446 × 805 ) / 1
LCM(446,805) = 359030 / 1
LCM(446,805) = 359030
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 4869/446, 4642/805?
Answer: GCF of Numerators as per given numbers 4869/446, 4642/805 is
GCF of Numerators i.e. for 4869,4642 is 1
LCM of denominators i.e. for 446,805 is 359030.
Thus, GCF of Fractions is 1/359030.Finally, GCF of Fractions for 4869/446, 4642/805 is 1/359030.