Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5174/451,4693/9008
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 5174,4693
Greatest Common Factor of Numerators i.e. GCF of 5174,4693 is 13 .
LCM of Denominators means LCM of 451,9008 as per the given fractions.
LCM of 451,9008 is 4062608 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5174,4693
13 | 5174, 4693 |
398, 361 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 5174
List of positive integer factors of 5174 that divides 5174 without a remainder.
1,2,13,26,199,398,2587,5174
Factors of 4693
List of positive integer factors of 4693 that divides 4693 without a remainder.
1,13,19,247,361,4693
Greatest Common Factor
We found the factors 5174,4693 . The biggest common factor number is the GCF number.
So the greatest common factor 5174,4693 is 13.
Lets's calculate LCM of 451,9008
Given numbers has no common factors except 1. So, there LCM is their product i.e 4062608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4062608
Therefore, the GCF of Fractions 5174/451,4693/9008 is 13/4062608
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 451,9008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,9008) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,9008) x common factors =1 x 1 = 1
LCM(451,9008) = ( 451 × 9008 ) / 1
LCM(451,9008) = 4062608 / 1
LCM(451,9008) = 4062608
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 5174/451, 4693/9008?
Answer: GCF of Numerators as per given numbers 5174/451, 4693/9008 is
GCF of Numerators i.e. for 5174,4693 is 13
LCM of denominators i.e. for 451,9008 is 4062608.
Thus, GCF of Fractions is 13/4062608.Finally, GCF of Fractions for 5174/451, 4693/9008 is 13/4062608.