Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 892/734,549/845
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 892,549
Greatest Common Factor of Numerators i.e. GCF of 892,549 is 1 .
LCM of Denominators means LCM of 734,845 as per the given fractions.
LCM of 734,845 is 620230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 892,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 892,549 . The biggest common factor number is the GCF number.
So the greatest common factor 892,549 is 1.
Lets's calculate LCM of 734,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 620230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/620230
Therefore, the GCF of Fractions 892/734,549/845 is 1/620230
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 734,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,845) x common factors =1 x 1 = 1
LCM(734,845) = ( 734 × 845 ) / 1
LCM(734,845) = 620230 / 1
LCM(734,845) = 620230
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 892/734, 549/845?
Answer: GCF of Numerators as per given numbers 892/734, 549/845 is
GCF of Numerators i.e. for 892,549 is 1
LCM of denominators i.e. for 734,845 is 620230.
Thus, GCF of Fractions is 1/620230.Finally, GCF of Fractions for 892/734, 549/845 is 1/620230.