Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 457/68,147/6869
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 457,147
Greatest Common Factor of Numerators i.e. GCF of 457,147 is 1 .
LCM of Denominators means LCM of 68,6869 as per the given fractions.
LCM of 68,6869 is 467092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 457,147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 457,147 . The biggest common factor number is the GCF number.
So the greatest common factor 457,147 is 1.
Lets's calculate LCM of 68,6869
Given numbers has no common factors except 1. So, there LCM is their product i.e 467092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467092
Therefore, the GCF of Fractions 457/68,147/6869 is 1/467092
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 68,6869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,6869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,6869) x common factors =1 x 1 = 1
LCM(68,6869) = ( 68 × 6869 ) / 1
LCM(68,6869) = 467092 / 1
LCM(68,6869) = 467092
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 457/68, 147/6869?
Answer: GCF of Numerators as per given numbers 457/68, 147/6869 is
GCF of Numerators i.e. for 457,147 is 1
LCM of denominators i.e. for 68,6869 is 467092.
Thus, GCF of Fractions is 1/467092.Finally, GCF of Fractions for 457/68, 147/6869 is 1/467092.