Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3363/830,6359/2943
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 3363,6359
Greatest Common Factor of Numerators i.e. GCF of 3363,6359 is 1 .
LCM of Denominators means LCM of 830,2943 as per the given fractions.
LCM of 830,2943 is 2442690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3363,6359
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3363
List of positive integer factors of 3363 that divides 3363 without a remainder.
1,3,19,57,59,177,1121,3363
Factors of 6359
List of positive integer factors of 6359 that divides 6359 without a remainder.
1,6359
Greatest Common Factor
We found the factors 3363,6359 . The biggest common factor number is the GCF number.
So the greatest common factor 3363,6359 is 1.
Lets's calculate LCM of 830,2943
Given numbers has no common factors except 1. So, there LCM is their product i.e 2442690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2442690
Therefore, the GCF of Fractions 3363/830,6359/2943 is 1/2442690
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 830,2943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,2943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(830,2943) x common factors =1 x 1 = 1
LCM(830,2943) = ( 830 × 2943 ) / 1
LCM(830,2943) = 2442690 / 1
LCM(830,2943) = 2442690
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 3363/830, 6359/2943?
Answer: GCF of Numerators as per given numbers 3363/830, 6359/2943 is
GCF of Numerators i.e. for 3363,6359 is 1
LCM of denominators i.e. for 830,2943 is 2442690.
Thus, GCF of Fractions is 1/2442690.Finally, GCF of Fractions for 3363/830, 6359/2943 is 1/2442690.