Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 555/801,988/818
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 555,988
Greatest Common Factor of Numerators i.e. GCF of 555,988 is 1 .
LCM of Denominators means LCM of 801,818 as per the given fractions.
LCM of 801,818 is 655218 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 555,988
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 555,988 . The biggest common factor number is the GCF number.
So the greatest common factor 555,988 is 1.
Lets's calculate LCM of 801,818
Given numbers has no common factors except 1. So, there LCM is their product i.e 655218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/655218
Therefore, the GCF of Fractions 555/801,988/818 is 1/655218
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 801,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(801,818) x common factors =1 x 1 = 1
LCM(801,818) = ( 801 × 818 ) / 1
LCM(801,818) = 655218 / 1
LCM(801,818) = 655218
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 555/801, 988/818?
Answer: GCF of Numerators as per given numbers 555/801, 988/818 is
GCF of Numerators i.e. for 555,988 is 1
LCM of denominators i.e. for 801,818 is 655218.
Thus, GCF of Fractions is 1/655218.Finally, GCF of Fractions for 555/801, 988/818 is 1/655218.