Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 611/82,202/74,806/377
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 611,202,806
Greatest Common Factor of Numerators i.e. GCF of 611,202,806 is 1 .
LCM of Denominators means LCM of 82,74,377 as per the given fractions.
LCM of 82,74,377 is 1143818 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 611,202,806
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 611,202,806 . The biggest common factor number is the GCF number.
So the greatest common factor 611,202,806 is 1.
Lets's calculate LCM of 82,74,377
2 | 82, 74, 377 |
41, 37, 377 |
∴ So the LCM of the given numbers is 2 x 41 x 37 x 377 = 1143818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1143818
Therefore, the GCF of Fractions 611/82,202/74,806/377 is 1/1143818
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 82,74,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,74,377) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,74,377) x common factors =1 x 2 = 2
LCM(82,74,377) = ( 82 × 74 × 377 ) / 2
LCM(82,74,377) = 2287636 / 2
LCM(82,74,377) = 1143818
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 611/82, 202/74, 806/377?
Answer: GCF of Numerators as per given numbers 611/82, 202/74, 806/377 is
GCF of Numerators i.e. for 611,202,806 is 1
LCM of denominators i.e. for 82,74,377 is 1143818.
Thus, GCF of Fractions is 1/1143818.Finally, GCF of Fractions for 611/82, 202/74, 806/377 is 1/1143818.