Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4390/788,4713/844
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 4390,4713
Greatest Common Factor of Numerators i.e. GCF of 4390,4713 is 1 .
LCM of Denominators means LCM of 788,844 as per the given fractions.
LCM of 788,844 is 166268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4390,4713
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4390
List of positive integer factors of 4390 that divides 4390 without a remainder.
1,2,5,10,439,878,2195,4390
Factors of 4713
List of positive integer factors of 4713 that divides 4713 without a remainder.
1,3,1571,4713
Greatest Common Factor
We found the factors 4390,4713 . The biggest common factor number is the GCF number.
So the greatest common factor 4390,4713 is 1.
Lets's calculate LCM of 788,844
2 | 788, 844 |
2 | 394, 422 |
197, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 197 x 211 = 166268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166268
Therefore, the GCF of Fractions 4390/788,4713/844 is 1/166268
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 788,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,844) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(788,844) x common factors =4 x 1 = 4
LCM(788,844) = ( 788 × 844 ) / 4
LCM(788,844) = 665072 / 4
LCM(788,844) = 166268
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 4390/788, 4713/844?
Answer: GCF of Numerators as per given numbers 4390/788, 4713/844 is
GCF of Numerators i.e. for 4390,4713 is 1
LCM of denominators i.e. for 788,844 is 166268.
Thus, GCF of Fractions is 1/166268.Finally, GCF of Fractions for 4390/788, 4713/844 is 1/166268.