Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4058/994,4581/924
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 4058,4581
Greatest Common Factor of Numerators i.e. GCF of 4058,4581 is 1 .
LCM of Denominators means LCM of 994,924 as per the given fractions.
LCM of 994,924 is 65604 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4058,4581
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4058
List of positive integer factors of 4058 that divides 4058 without a remainder.
1,2,2029,4058
Factors of 4581
List of positive integer factors of 4581 that divides 4581 without a remainder.
1,3,9,509,1527,4581
Greatest Common Factor
We found the factors 4058,4581 . The biggest common factor number is the GCF number.
So the greatest common factor 4058,4581 is 1.
Lets's calculate LCM of 994,924
2 | 994, 924 |
7 | 497, 462 |
71, 66 |
∴ So the LCM of the given numbers is 2 x 7 x 71 x 66 = 65604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65604
Therefore, the GCF of Fractions 4058/994,4581/924 is 1/65604
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 994,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,924) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(994,924) x common factors =14 x 1 = 14
LCM(994,924) = ( 994 × 924 ) / 14
LCM(994,924) = 918456 / 14
LCM(994,924) = 65604
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 4058/994, 4581/924?
Answer: GCF of Numerators as per given numbers 4058/994, 4581/924 is
GCF of Numerators i.e. for 4058,4581 is 1
LCM of denominators i.e. for 994,924 is 65604.
Thus, GCF of Fractions is 1/65604.Finally, GCF of Fractions for 4058/994, 4581/924 is 1/65604.