Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 280/206,256/771,565/322
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 280,256,565
Greatest Common Factor of Numerators i.e. GCF of 280,256,565 is 1 .
LCM of Denominators means LCM of 206,771,322 as per the given fractions.
LCM of 206,771,322 is 25570986 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 280,256,565
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Greatest Common Factor
We found the factors 280,256,565 . The biggest common factor number is the GCF number.
So the greatest common factor 280,256,565 is 1.
Lets's calculate LCM of 206,771,322
2 | 206, 771, 322 |
103, 771, 161 |
∴ So the LCM of the given numbers is 2 x 103 x 771 x 161 = 25570986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25570986
Therefore, the GCF of Fractions 280/206,256/771,565/322 is 1/25570986
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 206,771,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,771,322) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(206,771,322) x common factors =1 x 2 = 2
LCM(206,771,322) = ( 206 × 771 × 322 ) / 2
LCM(206,771,322) = 51141972 / 2
LCM(206,771,322) = 25570986
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 280/206, 256/771, 565/322?
Answer: GCF of Numerators as per given numbers 280/206, 256/771, 565/322 is
GCF of Numerators i.e. for 280,256,565 is 1
LCM of denominators i.e. for 206,771,322 is 25570986.
Thus, GCF of Fractions is 1/25570986.Finally, GCF of Fractions for 280/206, 256/771, 565/322 is 1/25570986.