Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6348/85,3493/969
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 6348,3493
Greatest Common Factor of Numerators i.e. GCF of 6348,3493 is 1 .
LCM of Denominators means LCM of 85,969 as per the given fractions.
LCM of 85,969 is 4845 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6348,3493
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6348
List of positive integer factors of 6348 that divides 6348 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348
Factors of 3493
List of positive integer factors of 3493 that divides 3493 without a remainder.
1,7,499,3493
Greatest Common Factor
We found the factors 6348,3493 . The biggest common factor number is the GCF number.
So the greatest common factor 6348,3493 is 1.
Lets's calculate LCM of 85,969
17 | 85, 969 |
5, 57 |
∴ So the LCM of the given numbers is 17 x 5 x 57 = 4845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4845
Therefore, the GCF of Fractions 6348/85,3493/969 is 1/4845
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 85,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,969) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(85,969) x common factors =17 x 1 = 17
LCM(85,969) = ( 85 × 969 ) / 17
LCM(85,969) = 82365 / 17
LCM(85,969) = 4845
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 6348/85, 3493/969?
Answer: GCF of Numerators as per given numbers 6348/85, 3493/969 is
GCF of Numerators i.e. for 6348,3493 is 1
LCM of denominators i.e. for 85,969 is 4845.
Thus, GCF of Fractions is 1/4845.Finally, GCF of Fractions for 6348/85, 3493/969 is 1/4845.