Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/57,611/82,205/501
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 807,611,205
Greatest Common Factor of Numerators i.e. GCF of 807,611,205 is 1 .
LCM of Denominators means LCM of 57,82,501 as per the given fractions.
LCM of 57,82,501 is 780558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 807,611,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Greatest Common Factor
We found the factors 807,611,205 . The biggest common factor number is the GCF number.
So the greatest common factor 807,611,205 is 1.
Lets's calculate LCM of 57,82,501
3 | 57, 82, 501 |
19, 82, 167 |
∴ So the LCM of the given numbers is 3 x 19 x 82 x 167 = 780558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/780558
Therefore, the GCF of Fractions 807/57,611/82,205/501 is 1/780558
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 57,82,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,82,501) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(57,82,501) x common factors =1 x 3 = 3
LCM(57,82,501) = ( 57 × 82 × 501 ) / 3
LCM(57,82,501) = 2341674 / 3
LCM(57,82,501) = 780558
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 807/57, 611/82, 205/501?
Answer: GCF of Numerators as per given numbers 807/57, 611/82, 205/501 is
GCF of Numerators i.e. for 807,611,205 is 1
LCM of denominators i.e. for 57,82,501 is 780558.
Thus, GCF of Fractions is 1/780558.Finally, GCF of Fractions for 807/57, 611/82, 205/501 is 1/780558.