Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7783/664,4887/955
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 7783,4887
Greatest Common Factor of Numerators i.e. GCF of 7783,4887 is 181 .
LCM of Denominators means LCM of 664,955 as per the given fractions.
LCM of 664,955 is 634120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7783,4887
181 | 7783, 4887 |
43, 27 |
∴ So the GCF of the given numbers is 181 = 181
Factors of 7783
List of positive integer factors of 7783 that divides 7783 without a remainder.
1,43,181,7783
Factors of 4887
List of positive integer factors of 4887 that divides 4887 without a remainder.
1,3,9,27,181,543,1629,4887
Greatest Common Factor
We found the factors 7783,4887 . The biggest common factor number is the GCF number.
So the greatest common factor 7783,4887 is 181.
Lets's calculate LCM of 664,955
Given numbers has no common factors except 1. So, there LCM is their product i.e 634120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 181/634120
Therefore, the GCF of Fractions 7783/664,4887/955 is 181/634120
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 664,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(664,955) x common factors =1 x 1 = 1
LCM(664,955) = ( 664 × 955 ) / 1
LCM(664,955) = 634120 / 1
LCM(664,955) = 634120
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 7783/664, 4887/955?
Answer: GCF of Numerators as per given numbers 7783/664, 4887/955 is
GCF of Numerators i.e. for 7783,4887 is 181
LCM of denominators i.e. for 664,955 is 634120.
Thus, GCF of Fractions is 181/634120.Finally, GCF of Fractions for 7783/664, 4887/955 is 181/634120.