Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5694/475,2656/997
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 5694,2656
Greatest Common Factor of Numerators i.e. GCF of 5694,2656 is 2 .
LCM of Denominators means LCM of 475,997 as per the given fractions.
LCM of 475,997 is 473575 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5694,2656
2 | 5694, 2656 |
2847, 1328 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5694
List of positive integer factors of 5694 that divides 5694 without a remainder.
1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694
Factors of 2656
List of positive integer factors of 2656 that divides 2656 without a remainder.
1,2,4,8,16,32,83,166,332,664,1328,2656
Greatest Common Factor
We found the factors 5694,2656 . The biggest common factor number is the GCF number.
So the greatest common factor 5694,2656 is 2.
Lets's calculate LCM of 475,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 473575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/473575
Therefore, the GCF of Fractions 5694/475,2656/997 is 2/473575
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 475,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,997) x common factors =1 x 1 = 1
LCM(475,997) = ( 475 × 997 ) / 1
LCM(475,997) = 473575 / 1
LCM(475,997) = 473575
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 5694/475, 2656/997?
Answer: GCF of Numerators as per given numbers 5694/475, 2656/997 is
GCF of Numerators i.e. for 5694,2656 is 2
LCM of denominators i.e. for 475,997 is 473575.
Thus, GCF of Fractions is 2/473575.Finally, GCF of Fractions for 5694/475, 2656/997 is 2/473575.