Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6660/851,4231/5969
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 6660,4231
Greatest Common Factor of Numerators i.e. GCF of 6660,4231 is 1 .
LCM of Denominators means LCM of 851,5969 as per the given fractions.
LCM of 851,5969 is 5079619 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6660,4231
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6660
List of positive integer factors of 6660 that divides 6660 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,37,45,60,74,90,111,148,180,185,222,333,370,444,555,666,740,1110,1332,1665,2220,3330,6660
Factors of 4231
List of positive integer factors of 4231 that divides 4231 without a remainder.
1,4231
Greatest Common Factor
We found the factors 6660,4231 . The biggest common factor number is the GCF number.
So the greatest common factor 6660,4231 is 1.
Lets's calculate LCM of 851,5969
Given numbers has no common factors except 1. So, there LCM is their product i.e 5079619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5079619
Therefore, the GCF of Fractions 6660/851,4231/5969 is 1/5079619
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 851,5969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,5969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,5969) x common factors =1 x 1 = 1
LCM(851,5969) = ( 851 × 5969 ) / 1
LCM(851,5969) = 5079619 / 1
LCM(851,5969) = 5079619
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 6660/851, 4231/5969?
Answer: GCF of Numerators as per given numbers 6660/851, 4231/5969 is
GCF of Numerators i.e. for 6660,4231 is 1
LCM of denominators i.e. for 851,5969 is 5079619.
Thus, GCF of Fractions is 1/5079619.Finally, GCF of Fractions for 6660/851, 4231/5969 is 1/5079619.