Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5390/33,6929/281
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 5390,6929
Greatest Common Factor of Numerators i.e. GCF of 5390,6929 is 1 .
LCM of Denominators means LCM of 33,281 as per the given fractions.
LCM of 33,281 is 9273 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5390,6929
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5390
List of positive integer factors of 5390 that divides 5390 without a remainder.
1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390
Factors of 6929
List of positive integer factors of 6929 that divides 6929 without a remainder.
1,13,41,169,533,6929
Greatest Common Factor
We found the factors 5390,6929 . The biggest common factor number is the GCF number.
So the greatest common factor 5390,6929 is 1.
Lets's calculate LCM of 33,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 9273
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9273
Therefore, the GCF of Fractions 5390/33,6929/281 is 1/9273
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 33,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,281) x common factors =1 x 1 = 1
LCM(33,281) = ( 33 × 281 ) / 1
LCM(33,281) = 9273 / 1
LCM(33,281) = 9273
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 5390/33, 6929/281?
Answer: GCF of Numerators as per given numbers 5390/33, 6929/281 is
GCF of Numerators i.e. for 5390,6929 is 1
LCM of denominators i.e. for 33,281 is 9273.
Thus, GCF of Fractions is 1/9273.Finally, GCF of Fractions for 5390/33, 6929/281 is 1/9273.