Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7297/76,6302/994
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 7297,6302
Greatest Common Factor of Numerators i.e. GCF of 7297,6302 is 1 .
LCM of Denominators means LCM of 76,994 as per the given fractions.
LCM of 76,994 is 37772 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7297,6302
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7297
List of positive integer factors of 7297 that divides 7297 without a remainder.
1,7297
Factors of 6302
List of positive integer factors of 6302 that divides 6302 without a remainder.
1,2,23,46,137,274,3151,6302
Greatest Common Factor
We found the factors 7297,6302 . The biggest common factor number is the GCF number.
So the greatest common factor 7297,6302 is 1.
Lets's calculate LCM of 76,994
2 | 76, 994 |
38, 497 |
∴ So the LCM of the given numbers is 2 x 38 x 497 = 37772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37772
Therefore, the GCF of Fractions 7297/76,6302/994 is 1/37772
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 76,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,994) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(76,994) x common factors =2 x 1 = 2
LCM(76,994) = ( 76 × 994 ) / 2
LCM(76,994) = 75544 / 2
LCM(76,994) = 37772
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 7297/76, 6302/994?
Answer: GCF of Numerators as per given numbers 7297/76, 6302/994 is
GCF of Numerators i.e. for 7297,6302 is 1
LCM of denominators i.e. for 76,994 is 37772.
Thus, GCF of Fractions is 1/37772.Finally, GCF of Fractions for 7297/76, 6302/994 is 1/37772.