Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1174/418,4944/5065
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 1174,4944
Greatest Common Factor of Numerators i.e. GCF of 1174,4944 is 2 .
LCM of Denominators means LCM of 418,5065 as per the given fractions.
LCM of 418,5065 is 2117170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1174,4944
2 | 1174, 4944 |
587, 2472 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1174
List of positive integer factors of 1174 that divides 1174 without a remainder.
1,2,587,1174
Factors of 4944
List of positive integer factors of 4944 that divides 4944 without a remainder.
1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944
Greatest Common Factor
We found the factors 1174,4944 . The biggest common factor number is the GCF number.
So the greatest common factor 1174,4944 is 2.
Lets's calculate LCM of 418,5065
Given numbers has no common factors except 1. So, there LCM is their product i.e 2117170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2117170
Therefore, the GCF of Fractions 1174/418,4944/5065 is 2/2117170
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 418,5065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,5065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,5065) x common factors =1 x 1 = 1
LCM(418,5065) = ( 418 × 5065 ) / 1
LCM(418,5065) = 2117170 / 1
LCM(418,5065) = 2117170
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 1174/418, 4944/5065?
Answer: GCF of Numerators as per given numbers 1174/418, 4944/5065 is
GCF of Numerators i.e. for 1174,4944 is 2
LCM of denominators i.e. for 418,5065 is 2117170.
Thus, GCF of Fractions is 2/2117170.Finally, GCF of Fractions for 1174/418, 4944/5065 is 2/2117170.