Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 475/755,1584/277
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 475,1584
Greatest Common Factor of Numerators i.e. GCF of 475,1584 is 1 .
LCM of Denominators means LCM of 755,277 as per the given fractions.
LCM of 755,277 is 209135 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 475,1584
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 1584
List of positive integer factors of 1584 that divides 1584 without a remainder.
1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584
Greatest Common Factor
We found the factors 475,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 475,1584 is 1.
Lets's calculate LCM of 755,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 209135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209135
Therefore, the GCF of Fractions 475/755,1584/277 is 1/209135
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 755,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,277) x common factors =1 x 1 = 1
LCM(755,277) = ( 755 × 277 ) / 1
LCM(755,277) = 209135 / 1
LCM(755,277) = 209135
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 475/755, 1584/277?
Answer: GCF of Numerators as per given numbers 475/755, 1584/277 is
GCF of Numerators i.e. for 475,1584 is 1
LCM of denominators i.e. for 755,277 is 209135.
Thus, GCF of Fractions is 1/209135.Finally, GCF of Fractions for 475/755, 1584/277 is 1/209135.