Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 997/95,756/51,479/691
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 997,756,479
Greatest Common Factor of Numerators i.e. GCF of 997,756,479 is 1 .
LCM of Denominators means LCM of 95,51,691 as per the given fractions.
LCM of 95,51,691 is 3347895 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 997,756,479
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Greatest Common Factor
We found the factors 997,756,479 . The biggest common factor number is the GCF number.
So the greatest common factor 997,756,479 is 1.
Lets's calculate LCM of 95,51,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 3347895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3347895
Therefore, the GCF of Fractions 997/95,756/51,479/691 is 1/3347895
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 95,51,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,51,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,51,691) x common factors =1 x 1 = 1
LCM(95,51,691) = ( 95 × 51 × 691 ) / 1
LCM(95,51,691) = 3347895 / 1
LCM(95,51,691) = 3347895
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 997/95, 756/51, 479/691?
Answer: GCF of Numerators as per given numbers 997/95, 756/51, 479/691 is
GCF of Numerators i.e. for 997,756,479 is 1
LCM of denominators i.e. for 95,51,691 is 3347895.
Thus, GCF of Fractions is 1/3347895.Finally, GCF of Fractions for 997/95, 756/51, 479/691 is 1/3347895.