Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 533/477,820/251
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 533,820
Greatest Common Factor of Numerators i.e. GCF of 533,820 is 41 .
LCM of Denominators means LCM of 477,251 as per the given fractions.
LCM of 477,251 is 119727 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 533,820
41 | 533, 820 |
13, 20 |
∴ So the GCF of the given numbers is 41 = 41
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 533,820 . The biggest common factor number is the GCF number.
So the greatest common factor 533,820 is 41.
Lets's calculate LCM of 477,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 119727
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/119727
Therefore, the GCF of Fractions 533/477,820/251 is 41/119727
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 477,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,251) x common factors =1 x 1 = 1
LCM(477,251) = ( 477 × 251 ) / 1
LCM(477,251) = 119727 / 1
LCM(477,251) = 119727
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 533/477, 820/251?
Answer: GCF of Numerators as per given numbers 533/477, 820/251 is
GCF of Numerators i.e. for 533,820 is 41
LCM of denominators i.e. for 477,251 is 119727.
Thus, GCF of Fractions is 41/119727.Finally, GCF of Fractions for 533/477, 820/251 is 41/119727.