Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 234/743,2850/6897
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 234,2850
Greatest Common Factor of Numerators i.e. GCF of 234,2850 is 6 .
LCM of Denominators means LCM of 743,6897 as per the given fractions.
LCM of 743,6897 is 5124471 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 234,2850
2 | 234, 2850 |
3 | 117, 1425 |
39, 475 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 2850
List of positive integer factors of 2850 that divides 2850 without a remainder.
1,2,3,5,6,10,15,19,25,30,38,50,57,75,95,114,150,190,285,475,570,950,1425,2850
Greatest Common Factor
We found the factors 234,2850 . The biggest common factor number is the GCF number.
So the greatest common factor 234,2850 is 6.
Lets's calculate LCM of 743,6897
Given numbers has no common factors except 1. So, there LCM is their product i.e 5124471
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5124471
Therefore, the GCF of Fractions 234/743,2850/6897 is 6/5124471
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 743,6897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,6897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,6897) x common factors =1 x 1 = 1
LCM(743,6897) = ( 743 × 6897 ) / 1
LCM(743,6897) = 5124471 / 1
LCM(743,6897) = 5124471
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 234/743, 2850/6897?
Answer: GCF of Numerators as per given numbers 234/743, 2850/6897 is
GCF of Numerators i.e. for 234,2850 is 6
LCM of denominators i.e. for 743,6897 is 5124471.
Thus, GCF of Fractions is 6/5124471.Finally, GCF of Fractions for 234/743, 2850/6897 is 6/5124471.