Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 497/41,721/9029
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 497,721
Greatest Common Factor of Numerators i.e. GCF of 497,721 is 7 .
LCM of Denominators means LCM of 41,9029 as per the given fractions.
LCM of 41,9029 is 370189 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 497,721
7 | 497, 721 |
71, 103 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Greatest Common Factor
We found the factors 497,721 . The biggest common factor number is the GCF number.
So the greatest common factor 497,721 is 7.
Lets's calculate LCM of 41,9029
Given numbers has no common factors except 1. So, there LCM is their product i.e 370189
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/370189
Therefore, the GCF of Fractions 497/41,721/9029 is 7/370189
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 41,9029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,9029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,9029) x common factors =1 x 1 = 1
LCM(41,9029) = ( 41 × 9029 ) / 1
LCM(41,9029) = 370189 / 1
LCM(41,9029) = 370189
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 497/41, 721/9029?
Answer: GCF of Numerators as per given numbers 497/41, 721/9029 is
GCF of Numerators i.e. for 497,721 is 7
LCM of denominators i.e. for 41,9029 is 370189.
Thus, GCF of Fractions is 7/370189.Finally, GCF of Fractions for 497/41, 721/9029 is 7/370189.