Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2128/223,6633/9781
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 2128,6633
Greatest Common Factor of Numerators i.e. GCF of 2128,6633 is 1 .
LCM of Denominators means LCM of 223,9781 as per the given fractions.
LCM of 223,9781 is 2181163 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2128,6633
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2128
List of positive integer factors of 2128 that divides 2128 without a remainder.
1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128
Factors of 6633
List of positive integer factors of 6633 that divides 6633 without a remainder.
1,3,9,11,33,67,99,201,603,737,2211,6633
Greatest Common Factor
We found the factors 2128,6633 . The biggest common factor number is the GCF number.
So the greatest common factor 2128,6633 is 1.
Lets's calculate LCM of 223,9781
Given numbers has no common factors except 1. So, there LCM is their product i.e 2181163
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2181163
Therefore, the GCF of Fractions 2128/223,6633/9781 is 1/2181163
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 223,9781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,9781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,9781) x common factors =1 x 1 = 1
LCM(223,9781) = ( 223 × 9781 ) / 1
LCM(223,9781) = 2181163 / 1
LCM(223,9781) = 2181163
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 2128/223, 6633/9781?
Answer: GCF of Numerators as per given numbers 2128/223, 6633/9781 is
GCF of Numerators i.e. for 2128,6633 is 1
LCM of denominators i.e. for 223,9781 is 2181163.
Thus, GCF of Fractions is 1/2181163.Finally, GCF of Fractions for 2128/223, 6633/9781 is 1/2181163.