Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 286/764,562/335
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 286,562
Greatest Common Factor of Numerators i.e. GCF of 286,562 is 2 .
LCM of Denominators means LCM of 764,335 as per the given fractions.
LCM of 764,335 is 255940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 286,562
2 | 286, 562 |
143, 281 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 286,562 . The biggest common factor number is the GCF number.
So the greatest common factor 286,562 is 2.
Lets's calculate LCM of 764,335
Given numbers has no common factors except 1. So, there LCM is their product i.e 255940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/255940
Therefore, the GCF of Fractions 286/764,562/335 is 2/255940
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 764,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,335) x common factors =1 x 1 = 1
LCM(764,335) = ( 764 × 335 ) / 1
LCM(764,335) = 255940 / 1
LCM(764,335) = 255940
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 286/764, 562/335?
Answer: GCF of Numerators as per given numbers 286/764, 562/335 is
GCF of Numerators i.e. for 286,562 is 2
LCM of denominators i.e. for 764,335 is 255940.
Thus, GCF of Fractions is 2/255940.Finally, GCF of Fractions for 286/764, 562/335 is 2/255940.