Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 358/94,9905/803
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 358,9905
Greatest Common Factor of Numerators i.e. GCF of 358,9905 is 1 .
LCM of Denominators means LCM of 94,803 as per the given fractions.
LCM of 94,803 is 75482 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 358,9905
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 9905
List of positive integer factors of 9905 that divides 9905 without a remainder.
1,5,7,35,283,1415,1981,9905
Greatest Common Factor
We found the factors 358,9905 . The biggest common factor number is the GCF number.
So the greatest common factor 358,9905 is 1.
Lets's calculate LCM of 94,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 75482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75482
Therefore, the GCF of Fractions 358/94,9905/803 is 1/75482
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 94,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,803) x common factors =1 x 1 = 1
LCM(94,803) = ( 94 × 803 ) / 1
LCM(94,803) = 75482 / 1
LCM(94,803) = 75482
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 358/94, 9905/803?
Answer: GCF of Numerators as per given numbers 358/94, 9905/803 is
GCF of Numerators i.e. for 358,9905 is 1
LCM of denominators i.e. for 94,803 is 75482.
Thus, GCF of Fractions is 1/75482.Finally, GCF of Fractions for 358/94, 9905/803 is 1/75482.