Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 280/284,5338/761
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 280,5338
Greatest Common Factor of Numerators i.e. GCF of 280,5338 is 2 .
LCM of Denominators means LCM of 284,761 as per the given fractions.
LCM of 284,761 is 216124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 280,5338
2 | 280, 5338 |
140, 2669 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 5338
List of positive integer factors of 5338 that divides 5338 without a remainder.
1,2,17,34,157,314,2669,5338
Greatest Common Factor
We found the factors 280,5338 . The biggest common factor number is the GCF number.
So the greatest common factor 280,5338 is 2.
Lets's calculate LCM of 284,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 216124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/216124
Therefore, the GCF of Fractions 280/284,5338/761 is 2/216124
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 284,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,761) x common factors =1 x 1 = 1
LCM(284,761) = ( 284 × 761 ) / 1
LCM(284,761) = 216124 / 1
LCM(284,761) = 216124
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 280/284, 5338/761?
Answer: GCF of Numerators as per given numbers 280/284, 5338/761 is
GCF of Numerators i.e. for 280,5338 is 2
LCM of denominators i.e. for 284,761 is 216124.
Thus, GCF of Fractions is 2/216124.Finally, GCF of Fractions for 280/284, 5338/761 is 2/216124.