Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/463,9361/362
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 348,9361
Greatest Common Factor of Numerators i.e. GCF of 348,9361 is 1 .
LCM of Denominators means LCM of 463,362 as per the given fractions.
LCM of 463,362 is 167606 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 348,9361
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 9361
List of positive integer factors of 9361 that divides 9361 without a remainder.
1,11,23,37,253,407,851,9361
Greatest Common Factor
We found the factors 348,9361 . The biggest common factor number is the GCF number.
So the greatest common factor 348,9361 is 1.
Lets's calculate LCM of 463,362
Given numbers has no common factors except 1. So, there LCM is their product i.e 167606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167606
Therefore, the GCF of Fractions 348/463,9361/362 is 1/167606
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 463,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,362) x common factors =1 x 1 = 1
LCM(463,362) = ( 463 × 362 ) / 1
LCM(463,362) = 167606 / 1
LCM(463,362) = 167606
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 348/463, 9361/362?
Answer: GCF of Numerators as per given numbers 348/463, 9361/362 is
GCF of Numerators i.e. for 348,9361 is 1
LCM of denominators i.e. for 463,362 is 167606.
Thus, GCF of Fractions is 1/167606.Finally, GCF of Fractions for 348/463, 9361/362 is 1/167606.