Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 512/467,712/245
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 512,712
Greatest Common Factor of Numerators i.e. GCF of 512,712 is 8 .
LCM of Denominators means LCM of 467,245 as per the given fractions.
LCM of 467,245 is 114415 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 512,712
2 | 512, 712 |
2 | 256, 356 |
2 | 128, 178 |
64, 89 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 512,712 . The biggest common factor number is the GCF number.
So the greatest common factor 512,712 is 8.
Lets's calculate LCM of 467,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 114415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/114415
Therefore, the GCF of Fractions 512/467,712/245 is 8/114415
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 467,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,245) x common factors =1 x 1 = 1
LCM(467,245) = ( 467 × 245 ) / 1
LCM(467,245) = 114415 / 1
LCM(467,245) = 114415
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 512/467, 712/245?
Answer: GCF of Numerators as per given numbers 512/467, 712/245 is
GCF of Numerators i.e. for 512,712 is 8
LCM of denominators i.e. for 467,245 is 114415.
Thus, GCF of Fractions is 8/114415.Finally, GCF of Fractions for 512/467, 712/245 is 8/114415.