Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4774/223,8645/1054
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 4774,8645
Greatest Common Factor of Numerators i.e. GCF of 4774,8645 is 7 .
LCM of Denominators means LCM of 223,1054 as per the given fractions.
LCM of 223,1054 is 235042 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4774,8645
7 | 4774, 8645 |
682, 1235 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 4774
List of positive integer factors of 4774 that divides 4774 without a remainder.
1,2,7,11,14,22,31,62,77,154,217,341,434,682,2387,4774
Factors of 8645
List of positive integer factors of 8645 that divides 8645 without a remainder.
1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645
Greatest Common Factor
We found the factors 4774,8645 . The biggest common factor number is the GCF number.
So the greatest common factor 4774,8645 is 7.
Lets's calculate LCM of 223,1054
Given numbers has no common factors except 1. So, there LCM is their product i.e 235042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/235042
Therefore, the GCF of Fractions 4774/223,8645/1054 is 7/235042
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 223,1054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,1054) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,1054) x common factors =1 x 1 = 1
LCM(223,1054) = ( 223 × 1054 ) / 1
LCM(223,1054) = 235042 / 1
LCM(223,1054) = 235042
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 4774/223, 8645/1054?
Answer: GCF of Numerators as per given numbers 4774/223, 8645/1054 is
GCF of Numerators i.e. for 4774,8645 is 7
LCM of denominators i.e. for 223,1054 is 235042.
Thus, GCF of Fractions is 7/235042.Finally, GCF of Fractions for 4774/223, 8645/1054 is 7/235042.