Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 830/470,4321/526
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 830,4321
Greatest Common Factor of Numerators i.e. GCF of 830,4321 is 1 .
LCM of Denominators means LCM of 470,526 as per the given fractions.
LCM of 470,526 is 123610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 830,4321
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 4321
List of positive integer factors of 4321 that divides 4321 without a remainder.
1,29,149,4321
Greatest Common Factor
We found the factors 830,4321 . The biggest common factor number is the GCF number.
So the greatest common factor 830,4321 is 1.
Lets's calculate LCM of 470,526
2 | 470, 526 |
235, 263 |
∴ So the LCM of the given numbers is 2 x 235 x 263 = 123610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123610
Therefore, the GCF of Fractions 830/470,4321/526 is 1/123610
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 470,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,526) x common factors =2 x 1 = 2
LCM(470,526) = ( 470 × 526 ) / 2
LCM(470,526) = 247220 / 2
LCM(470,526) = 123610
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 830/470, 4321/526?
Answer: GCF of Numerators as per given numbers 830/470, 4321/526 is
GCF of Numerators i.e. for 830,4321 is 1
LCM of denominators i.e. for 470,526 is 123610.
Thus, GCF of Fractions is 1/123610.Finally, GCF of Fractions for 830/470, 4321/526 is 1/123610.