Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 811/42,976/59,697/505
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 811,976,697
Greatest Common Factor of Numerators i.e. GCF of 811,976,697 is 1 .
LCM of Denominators means LCM of 42,59,505 as per the given fractions.
LCM of 42,59,505 is 1251390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 811,976,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 811,976,697 . The biggest common factor number is the GCF number.
So the greatest common factor 811,976,697 is 1.
Lets's calculate LCM of 42,59,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 1251390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1251390
Therefore, the GCF of Fractions 811/42,976/59,697/505 is 1/1251390
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 42,59,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,59,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,59,505) x common factors =1 x 1 = 1
LCM(42,59,505) = ( 42 × 59 × 505 ) / 1
LCM(42,59,505) = 1251390 / 1
LCM(42,59,505) = 1251390
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 811/42, 976/59, 697/505?
Answer: GCF of Numerators as per given numbers 811/42, 976/59, 697/505 is
GCF of Numerators i.e. for 811,976,697 is 1
LCM of denominators i.e. for 42,59,505 is 1251390.
Thus, GCF of Fractions is 1/1251390.Finally, GCF of Fractions for 811/42, 976/59, 697/505 is 1/1251390.