Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/980,716/512
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 43,716
Greatest Common Factor of Numerators i.e. GCF of 43,716 is 1 .
LCM of Denominators means LCM of 980,512 as per the given fractions.
LCM of 980,512 is 125440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,716
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Greatest Common Factor
We found the factors 43,716 . The biggest common factor number is the GCF number.
So the greatest common factor 43,716 is 1.
Lets's calculate LCM of 980,512
2 | 980, 512 |
2 | 490, 256 |
245, 128 |
∴ So the LCM of the given numbers is 2 x 2 x 245 x 128 = 125440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125440
Therefore, the GCF of Fractions 43/980,716/512 is 1/125440
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 980,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,512) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(980,512) x common factors =4 x 1 = 4
LCM(980,512) = ( 980 × 512 ) / 4
LCM(980,512) = 501760 / 4
LCM(980,512) = 125440
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 43/980, 716/512?
Answer: GCF of Numerators as per given numbers 43/980, 716/512 is
GCF of Numerators i.e. for 43,716 is 1
LCM of denominators i.e. for 980,512 is 125440.
Thus, GCF of Fractions is 1/125440.Finally, GCF of Fractions for 43/980, 716/512 is 1/125440.