Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5518/683,7381/4627
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 5518,7381
Greatest Common Factor of Numerators i.e. GCF of 5518,7381 is 1 .
LCM of Denominators means LCM of 683,4627 as per the given fractions.
LCM of 683,4627 is 3160241 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5518,7381
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5518
List of positive integer factors of 5518 that divides 5518 without a remainder.
1,2,31,62,89,178,2759,5518
Factors of 7381
List of positive integer factors of 7381 that divides 7381 without a remainder.
1,11,61,121,671,7381
Greatest Common Factor
We found the factors 5518,7381 . The biggest common factor number is the GCF number.
So the greatest common factor 5518,7381 is 1.
Lets's calculate LCM of 683,4627
Given numbers has no common factors except 1. So, there LCM is their product i.e 3160241
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3160241
Therefore, the GCF of Fractions 5518/683,7381/4627 is 1/3160241
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 683,4627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,4627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,4627) x common factors =1 x 1 = 1
LCM(683,4627) = ( 683 × 4627 ) / 1
LCM(683,4627) = 3160241 / 1
LCM(683,4627) = 3160241
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 5518/683, 7381/4627?
Answer: GCF of Numerators as per given numbers 5518/683, 7381/4627 is
GCF of Numerators i.e. for 5518,7381 is 1
LCM of denominators i.e. for 683,4627 is 3160241.
Thus, GCF of Fractions is 1/3160241.Finally, GCF of Fractions for 5518/683, 7381/4627 is 1/3160241.