Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1546/751,8851/2228
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 1546,8851
Greatest Common Factor of Numerators i.e. GCF of 1546,8851 is 1 .
LCM of Denominators means LCM of 751,2228 as per the given fractions.
LCM of 751,2228 is 1673228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1546,8851
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1546
List of positive integer factors of 1546 that divides 1546 without a remainder.
1,2,773,1546
Factors of 8851
List of positive integer factors of 8851 that divides 8851 without a remainder.
1,53,167,8851
Greatest Common Factor
We found the factors 1546,8851 . The biggest common factor number is the GCF number.
So the greatest common factor 1546,8851 is 1.
Lets's calculate LCM of 751,2228
Given numbers has no common factors except 1. So, there LCM is their product i.e 1673228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1673228
Therefore, the GCF of Fractions 1546/751,8851/2228 is 1/1673228
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 751,2228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,2228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,2228) x common factors =1 x 1 = 1
LCM(751,2228) = ( 751 × 2228 ) / 1
LCM(751,2228) = 1673228 / 1
LCM(751,2228) = 1673228
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 1546/751, 8851/2228?
Answer: GCF of Numerators as per given numbers 1546/751, 8851/2228 is
GCF of Numerators i.e. for 1546,8851 is 1
LCM of denominators i.e. for 751,2228 is 1673228.
Thus, GCF of Fractions is 1/1673228.Finally, GCF of Fractions for 1546/751, 8851/2228 is 1/1673228.