Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6847/710,7984/968
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 6847,7984
Greatest Common Factor of Numerators i.e. GCF of 6847,7984 is 1 .
LCM of Denominators means LCM of 710,968 as per the given fractions.
LCM of 710,968 is 343640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6847,7984
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6847
List of positive integer factors of 6847 that divides 6847 without a remainder.
1,41,167,6847
Factors of 7984
List of positive integer factors of 7984 that divides 7984 without a remainder.
1,2,4,8,16,499,998,1996,3992,7984
Greatest Common Factor
We found the factors 6847,7984 . The biggest common factor number is the GCF number.
So the greatest common factor 6847,7984 is 1.
Lets's calculate LCM of 710,968
2 | 710, 968 |
355, 484 |
∴ So the LCM of the given numbers is 2 x 355 x 484 = 343640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343640
Therefore, the GCF of Fractions 6847/710,7984/968 is 1/343640
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 710,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,968) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,968) x common factors =2 x 1 = 2
LCM(710,968) = ( 710 × 968 ) / 2
LCM(710,968) = 687280 / 2
LCM(710,968) = 343640
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 6847/710, 7984/968?
Answer: GCF of Numerators as per given numbers 6847/710, 7984/968 is
GCF of Numerators i.e. for 6847,7984 is 1
LCM of denominators i.e. for 710,968 is 343640.
Thus, GCF of Fractions is 1/343640.Finally, GCF of Fractions for 6847/710, 7984/968 is 1/343640.