Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 805/64,118/512
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 805,118
Greatest Common Factor of Numerators i.e. GCF of 805,118 is 1 .
LCM of Denominators means LCM of 64,512 as per the given fractions.
LCM of 64,512 is 512 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 805,118
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Greatest Common Factor
We found the factors 805,118 . The biggest common factor number is the GCF number.
So the greatest common factor 805,118 is 1.
Lets's calculate LCM of 64,512
2 | 64, 512 |
2 | 32, 256 |
2 | 16, 128 |
2 | 8, 64 |
2 | 4, 32 |
2 | 2, 16 |
1, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 1 x 8 = 512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512
Therefore, the GCF of Fractions 805/64,118/512 is 1/512
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 64,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,512) = 64
common factors(in case of two or more numbers have common factors) = 1
GCF(64,512) x common factors =64 x 1 = 64
LCM(64,512) = ( 64 × 512 ) / 64
LCM(64,512) = 32768 / 64
LCM(64,512) = 512
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 805/64, 118/512?
Answer: GCF of Numerators as per given numbers 805/64, 118/512 is
GCF of Numerators i.e. for 805,118 is 1
LCM of denominators i.e. for 64,512 is 512.
Thus, GCF of Fractions is 1/512.Finally, GCF of Fractions for 805/64, 118/512 is 1/512.