Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3314/315,4969/7006
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 3314,4969
Greatest Common Factor of Numerators i.e. GCF of 3314,4969 is 1 .
LCM of Denominators means LCM of 315,7006 as per the given fractions.
LCM of 315,7006 is 2206890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3314,4969
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3314
List of positive integer factors of 3314 that divides 3314 without a remainder.
1,2,1657,3314
Factors of 4969
List of positive integer factors of 4969 that divides 4969 without a remainder.
1,4969
Greatest Common Factor
We found the factors 3314,4969 . The biggest common factor number is the GCF number.
So the greatest common factor 3314,4969 is 1.
Lets's calculate LCM of 315,7006
Given numbers has no common factors except 1. So, there LCM is their product i.e 2206890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2206890
Therefore, the GCF of Fractions 3314/315,4969/7006 is 1/2206890
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 315,7006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,7006) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,7006) x common factors =1 x 1 = 1
LCM(315,7006) = ( 315 × 7006 ) / 1
LCM(315,7006) = 2206890 / 1
LCM(315,7006) = 2206890
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 3314/315, 4969/7006?
Answer: GCF of Numerators as per given numbers 3314/315, 4969/7006 is
GCF of Numerators i.e. for 3314,4969 is 1
LCM of denominators i.e. for 315,7006 is 2206890.
Thus, GCF of Fractions is 1/2206890.Finally, GCF of Fractions for 3314/315, 4969/7006 is 1/2206890.