Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/178,313/295
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 32,313
Greatest Common Factor of Numerators i.e. GCF of 32,313 is 1 .
LCM of Denominators means LCM of 178,295 as per the given fractions.
LCM of 178,295 is 52510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 32,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Greatest Common Factor
We found the factors 32,313 . The biggest common factor number is the GCF number.
So the greatest common factor 32,313 is 1.
Lets's calculate LCM of 178,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 52510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52510
Therefore, the GCF of Fractions 32/178,313/295 is 1/52510
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 178,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,295) x common factors =1 x 1 = 1
LCM(178,295) = ( 178 × 295 ) / 1
LCM(178,295) = 52510 / 1
LCM(178,295) = 52510
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 32/178, 313/295?
Answer: GCF of Numerators as per given numbers 32/178, 313/295 is
GCF of Numerators i.e. for 32,313 is 1
LCM of denominators i.e. for 178,295 is 52510.
Thus, GCF of Fractions is 1/52510.Finally, GCF of Fractions for 32/178, 313/295 is 1/52510.