Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2327/953,4965/412
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 2327,4965
Greatest Common Factor of Numerators i.e. GCF of 2327,4965 is 1 .
LCM of Denominators means LCM of 953,412 as per the given fractions.
LCM of 953,412 is 392636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2327,4965
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2327
List of positive integer factors of 2327 that divides 2327 without a remainder.
1,13,179,2327
Factors of 4965
List of positive integer factors of 4965 that divides 4965 without a remainder.
1,3,5,15,331,993,1655,4965
Greatest Common Factor
We found the factors 2327,4965 . The biggest common factor number is the GCF number.
So the greatest common factor 2327,4965 is 1.
Lets's calculate LCM of 953,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 392636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392636
Therefore, the GCF of Fractions 2327/953,4965/412 is 1/392636
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 953,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,412) x common factors =1 x 1 = 1
LCM(953,412) = ( 953 × 412 ) / 1
LCM(953,412) = 392636 / 1
LCM(953,412) = 392636
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 2327/953, 4965/412?
Answer: GCF of Numerators as per given numbers 2327/953, 4965/412 is
GCF of Numerators i.e. for 2327,4965 is 1
LCM of denominators i.e. for 953,412 is 392636.
Thus, GCF of Fractions is 1/392636.Finally, GCF of Fractions for 2327/953, 4965/412 is 1/392636.