Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 605/254,9215/967
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 605,9215
Greatest Common Factor of Numerators i.e. GCF of 605,9215 is 5 .
LCM of Denominators means LCM of 254,967 as per the given fractions.
LCM of 254,967 is 245618 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 605,9215
5 | 605, 9215 |
121, 1843 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 9215
List of positive integer factors of 9215 that divides 9215 without a remainder.
1,5,19,95,97,485,1843,9215
Greatest Common Factor
We found the factors 605,9215 . The biggest common factor number is the GCF number.
So the greatest common factor 605,9215 is 5.
Lets's calculate LCM of 254,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 245618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/245618
Therefore, the GCF of Fractions 605/254,9215/967 is 5/245618
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 254,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,967) x common factors =1 x 1 = 1
LCM(254,967) = ( 254 × 967 ) / 1
LCM(254,967) = 245618 / 1
LCM(254,967) = 245618
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 605/254, 9215/967?
Answer: GCF of Numerators as per given numbers 605/254, 9215/967 is
GCF of Numerators i.e. for 605,9215 is 5
LCM of denominators i.e. for 254,967 is 245618.
Thus, GCF of Fractions is 5/245618.Finally, GCF of Fractions for 605/254, 9215/967 is 5/245618.