Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 275/522,968/587
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 275,968
Greatest Common Factor of Numerators i.e. GCF of 275,968 is 11 .
LCM of Denominators means LCM of 522,587 as per the given fractions.
LCM of 522,587 is 306414 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 275,968
11 | 275, 968 |
25, 88 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 275,968 . The biggest common factor number is the GCF number.
So the greatest common factor 275,968 is 11.
Lets's calculate LCM of 522,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 306414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/306414
Therefore, the GCF of Fractions 275/522,968/587 is 11/306414
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 522,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(522,587) x common factors =1 x 1 = 1
LCM(522,587) = ( 522 × 587 ) / 1
LCM(522,587) = 306414 / 1
LCM(522,587) = 306414
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 275/522, 968/587?
Answer: GCF of Numerators as per given numbers 275/522, 968/587 is
GCF of Numerators i.e. for 275,968 is 11
LCM of denominators i.e. for 522,587 is 306414.
Thus, GCF of Fractions is 11/306414.Finally, GCF of Fractions for 275/522, 968/587 is 11/306414.