Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 277/211,626/265,327/849
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 277,626,327
Greatest Common Factor of Numerators i.e. GCF of 277,626,327 is 1 .
LCM of Denominators means LCM of 211,265,849 as per the given fractions.
LCM of 211,265,849 is 47471835 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 277,626,327
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Greatest Common Factor
We found the factors 277,626,327 . The biggest common factor number is the GCF number.
So the greatest common factor 277,626,327 is 1.
Lets's calculate LCM of 211,265,849
Given numbers has no common factors except 1. So, there LCM is their product i.e 47471835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47471835
Therefore, the GCF of Fractions 277/211,626/265,327/849 is 1/47471835
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 211,265,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,265,849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,265,849) x common factors =1 x 1 = 1
LCM(211,265,849) = ( 211 × 265 × 849 ) / 1
LCM(211,265,849) = 47471835 / 1
LCM(211,265,849) = 47471835
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 277/211, 626/265, 327/849?
Answer: GCF of Numerators as per given numbers 277/211, 626/265, 327/849 is
GCF of Numerators i.e. for 277,626,327 is 1
LCM of denominators i.e. for 211,265,849 is 47471835.
Thus, GCF of Fractions is 1/47471835.Finally, GCF of Fractions for 277/211, 626/265, 327/849 is 1/47471835.