Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4972/405,9023/7137
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 4972,9023
Greatest Common Factor of Numerators i.e. GCF of 4972,9023 is 1 .
LCM of Denominators means LCM of 405,7137 as per the given fractions.
LCM of 405,7137 is 321165 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4972,9023
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4972
List of positive integer factors of 4972 that divides 4972 without a remainder.
1,2,4,11,22,44,113,226,452,1243,2486,4972
Factors of 9023
List of positive integer factors of 9023 that divides 9023 without a remainder.
1,7,1289,9023
Greatest Common Factor
We found the factors 4972,9023 . The biggest common factor number is the GCF number.
So the greatest common factor 4972,9023 is 1.
Lets's calculate LCM of 405,7137
3 | 405, 7137 |
3 | 135, 2379 |
45, 793 |
∴ So the LCM of the given numbers is 3 x 3 x 45 x 793 = 321165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321165
Therefore, the GCF of Fractions 4972/405,9023/7137 is 1/321165
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 405,7137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,7137) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(405,7137) x common factors =9 x 1 = 9
LCM(405,7137) = ( 405 × 7137 ) / 9
LCM(405,7137) = 2890485 / 9
LCM(405,7137) = 321165
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 4972/405, 9023/7137?
Answer: GCF of Numerators as per given numbers 4972/405, 9023/7137 is
GCF of Numerators i.e. for 4972,9023 is 1
LCM of denominators i.e. for 405,7137 is 321165.
Thus, GCF of Fractions is 1/321165.Finally, GCF of Fractions for 4972/405, 9023/7137 is 1/321165.