Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3339/105,7033/787
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 3339,7033
Greatest Common Factor of Numerators i.e. GCF of 3339,7033 is 1 .
LCM of Denominators means LCM of 105,787 as per the given fractions.
LCM of 105,787 is 82635 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3339,7033
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3339
List of positive integer factors of 3339 that divides 3339 without a remainder.
1,3,7,9,21,53,63,159,371,477,1113,3339
Factors of 7033
List of positive integer factors of 7033 that divides 7033 without a remainder.
1,13,541,7033
Greatest Common Factor
We found the factors 3339,7033 . The biggest common factor number is the GCF number.
So the greatest common factor 3339,7033 is 1.
Lets's calculate LCM of 105,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 82635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82635
Therefore, the GCF of Fractions 3339/105,7033/787 is 1/82635
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 105,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,787) x common factors =1 x 1 = 1
LCM(105,787) = ( 105 × 787 ) / 1
LCM(105,787) = 82635 / 1
LCM(105,787) = 82635
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 3339/105, 7033/787?
Answer: GCF of Numerators as per given numbers 3339/105, 7033/787 is
GCF of Numerators i.e. for 3339,7033 is 1
LCM of denominators i.e. for 105,787 is 82635.
Thus, GCF of Fractions is 1/82635.Finally, GCF of Fractions for 3339/105, 7033/787 is 1/82635.