Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 934/733,6458/3700
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 934,6458
Greatest Common Factor of Numerators i.e. GCF of 934,6458 is 2 .
LCM of Denominators means LCM of 733,3700 as per the given fractions.
LCM of 733,3700 is 2712100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 934,6458
2 | 934, 6458 |
467, 3229 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 6458
List of positive integer factors of 6458 that divides 6458 without a remainder.
1,2,3229,6458
Greatest Common Factor
We found the factors 934,6458 . The biggest common factor number is the GCF number.
So the greatest common factor 934,6458 is 2.
Lets's calculate LCM of 733,3700
Given numbers has no common factors except 1. So, there LCM is their product i.e 2712100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2712100
Therefore, the GCF of Fractions 934/733,6458/3700 is 2/2712100
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 733,3700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,3700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,3700) x common factors =1 x 1 = 1
LCM(733,3700) = ( 733 × 3700 ) / 1
LCM(733,3700) = 2712100 / 1
LCM(733,3700) = 2712100
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 934/733, 6458/3700?
Answer: GCF of Numerators as per given numbers 934/733, 6458/3700 is
GCF of Numerators i.e. for 934,6458 is 2
LCM of denominators i.e. for 733,3700 is 2712100.
Thus, GCF of Fractions is 2/2712100.Finally, GCF of Fractions for 934/733, 6458/3700 is 2/2712100.