Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/584,821/511,866/676
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 49,821,866
Greatest Common Factor of Numerators i.e. GCF of 49,821,866 is 1 .
LCM of Denominators means LCM of 584,511,676 as per the given fractions.
LCM of 584,511,676 is 690872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,821,866
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Greatest Common Factor
We found the factors 49,821,866 . The biggest common factor number is the GCF number.
So the greatest common factor 49,821,866 is 1.
Lets's calculate LCM of 584,511,676
2 | 584, 511, 676 |
2 | 292, 511, 338 |
73 | 146, 511, 169 |
2, 7, 169 |
∴ So the LCM of the given numbers is 2 x 2 x 73 x 2 x 7 x 169 = 690872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/690872
Therefore, the GCF of Fractions 49/584,821/511,866/676 is 1/690872
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 584,511,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,511,676) = 1
common factors(in case of two or more numbers have common factors) = 292
GCF(584,511,676) x common factors =1 x 292 = 292
LCM(584,511,676) = ( 584 × 511 × 676 ) / 292
LCM(584,511,676) = 201734624 / 292
LCM(584,511,676) = 690872
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 49/584, 821/511, 866/676?
Answer: GCF of Numerators as per given numbers 49/584, 821/511, 866/676 is
GCF of Numerators i.e. for 49,821,866 is 1
LCM of denominators i.e. for 584,511,676 is 690872.
Thus, GCF of Fractions is 1/690872.Finally, GCF of Fractions for 49/584, 821/511, 866/676 is 1/690872.