Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 211/38,500/53,376/787
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 211,500,376
Greatest Common Factor of Numerators i.e. GCF of 211,500,376 is 1 .
LCM of Denominators means LCM of 38,53,787 as per the given fractions.
LCM of 38,53,787 is 1585018 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 211,500,376
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 211,500,376 . The biggest common factor number is the GCF number.
So the greatest common factor 211,500,376 is 1.
Lets's calculate LCM of 38,53,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 1585018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1585018
Therefore, the GCF of Fractions 211/38,500/53,376/787 is 1/1585018
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 38,53,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,53,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,53,787) x common factors =1 x 1 = 1
LCM(38,53,787) = ( 38 × 53 × 787 ) / 1
LCM(38,53,787) = 1585018 / 1
LCM(38,53,787) = 1585018
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 211/38, 500/53, 376/787?
Answer: GCF of Numerators as per given numbers 211/38, 500/53, 376/787 is
GCF of Numerators i.e. for 211,500,376 is 1
LCM of denominators i.e. for 38,53,787 is 1585018.
Thus, GCF of Fractions is 1/1585018.Finally, GCF of Fractions for 211/38, 500/53, 376/787 is 1/1585018.