Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 641/344,103/456,726/857
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 641,103,726
Greatest Common Factor of Numerators i.e. GCF of 641,103,726 is 1 .
LCM of Denominators means LCM of 344,456,857 as per the given fractions.
LCM of 344,456,857 is 16804056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 641,103,726
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 641,103,726 . The biggest common factor number is the GCF number.
So the greatest common factor 641,103,726 is 1.
Lets's calculate LCM of 344,456,857
2 | 344, 456, 857 |
2 | 172, 228, 857 |
2 | 86, 114, 857 |
43, 57, 857 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 57 x 857 = 16804056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16804056
Therefore, the GCF of Fractions 641/344,103/456,726/857 is 1/16804056
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 344,456,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,456,857) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(344,456,857) x common factors =1 x 8 = 8
LCM(344,456,857) = ( 344 × 456 × 857 ) / 8
LCM(344,456,857) = 134432448 / 8
LCM(344,456,857) = 16804056
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 641/344, 103/456, 726/857?
Answer: GCF of Numerators as per given numbers 641/344, 103/456, 726/857 is
GCF of Numerators i.e. for 641,103,726 is 1
LCM of denominators i.e. for 344,456,857 is 16804056.
Thus, GCF of Fractions is 1/16804056.Finally, GCF of Fractions for 641/344, 103/456, 726/857 is 1/16804056.