Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8546/37,4603/660
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 8546,4603
Greatest Common Factor of Numerators i.e. GCF of 8546,4603 is 1 .
LCM of Denominators means LCM of 37,660 as per the given fractions.
LCM of 37,660 is 24420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8546,4603
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8546
List of positive integer factors of 8546 that divides 8546 without a remainder.
1,2,4273,8546
Factors of 4603
List of positive integer factors of 4603 that divides 4603 without a remainder.
1,4603
Greatest Common Factor
We found the factors 8546,4603 . The biggest common factor number is the GCF number.
So the greatest common factor 8546,4603 is 1.
Lets's calculate LCM of 37,660
Given numbers has no common factors except 1. So, there LCM is their product i.e 24420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24420
Therefore, the GCF of Fractions 8546/37,4603/660 is 1/24420
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 37,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,660) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,660) x common factors =1 x 1 = 1
LCM(37,660) = ( 37 × 660 ) / 1
LCM(37,660) = 24420 / 1
LCM(37,660) = 24420
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 8546/37, 4603/660?
Answer: GCF of Numerators as per given numbers 8546/37, 4603/660 is
GCF of Numerators i.e. for 8546,4603 is 1
LCM of denominators i.e. for 37,660 is 24420.
Thus, GCF of Fractions is 1/24420.Finally, GCF of Fractions for 8546/37, 4603/660 is 1/24420.