Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1547/671,8851/631
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 1547,8851
Greatest Common Factor of Numerators i.e. GCF of 1547,8851 is 1 .
LCM of Denominators means LCM of 671,631 as per the given fractions.
LCM of 671,631 is 423401 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1547,8851
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1547
List of positive integer factors of 1547 that divides 1547 without a remainder.
1,7,13,17,91,119,221,1547
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 1547,8851 . The biggest common factor number is the GCF number.
So the greatest common factor 1547,8851 is 1.
Lets's calculate LCM of 671,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 423401
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/423401
Therefore, the GCF of Fractions 1547/671,8851/631 is 1/423401
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 671,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,631) x common factors =1 x 1 = 1
LCM(671,631) = ( 671 × 631 ) / 1
LCM(671,631) = 423401 / 1
LCM(671,631) = 423401
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 1547/671, 8851/631?
Answer: GCF of Numerators as per given numbers 1547/671, 8851/631 is
GCF of Numerators i.e. for 1547,8851 is 1
LCM of denominators i.e. for 671,631 is 423401.
Thus, GCF of Fractions is 1/423401.Finally, GCF of Fractions for 1547/671, 8851/631 is 1/423401.