Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6782/49,3359/598
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 6782,3359
Greatest Common Factor of Numerators i.e. GCF of 6782,3359 is 1 .
LCM of Denominators means LCM of 49,598 as per the given fractions.
LCM of 49,598 is 29302 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6782,3359
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6782
List of positive integer factors of 6782 that divides 6782 without a remainder.
1,2,3391,6782
Factors of 3359
List of positive integer factors of 3359 that divides 3359 without a remainder.
1,3359
Greatest Common Factor
We found the factors 6782,3359 . The biggest common factor number is the GCF number.
So the greatest common factor 6782,3359 is 1.
Lets's calculate LCM of 49,598
Given numbers has no common factors except 1. So, there LCM is their product i.e 29302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29302
Therefore, the GCF of Fractions 6782/49,3359/598 is 1/29302
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 49,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,598) x common factors =1 x 1 = 1
LCM(49,598) = ( 49 × 598 ) / 1
LCM(49,598) = 29302 / 1
LCM(49,598) = 29302
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 6782/49, 3359/598?
Answer: GCF of Numerators as per given numbers 6782/49, 3359/598 is
GCF of Numerators i.e. for 6782,3359 is 1
LCM of denominators i.e. for 49,598 is 29302.
Thus, GCF of Fractions is 1/29302.Finally, GCF of Fractions for 6782/49, 3359/598 is 1/29302.