Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5435/126,3412/570
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 5435,3412
Greatest Common Factor of Numerators i.e. GCF of 5435,3412 is 1 .
LCM of Denominators means LCM of 126,570 as per the given fractions.
LCM of 126,570 is 11970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5435,3412
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5435
List of positive integer factors of 5435 that divides 5435 without a remainder.
1,5,1087,5435
Factors of 3412
List of positive integer factors of 3412 that divides 3412 without a remainder.
1,2,4,853,1706,3412
Greatest Common Factor
We found the factors 5435,3412 . The biggest common factor number is the GCF number.
So the greatest common factor 5435,3412 is 1.
Lets's calculate LCM of 126,570
2 | 126, 570 |
3 | 63, 285 |
21, 95 |
∴ So the LCM of the given numbers is 2 x 3 x 21 x 95 = 11970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11970
Therefore, the GCF of Fractions 5435/126,3412/570 is 1/11970
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 126,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,570) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(126,570) x common factors =6 x 1 = 6
LCM(126,570) = ( 126 × 570 ) / 6
LCM(126,570) = 71820 / 6
LCM(126,570) = 11970
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 5435/126, 3412/570?
Answer: GCF of Numerators as per given numbers 5435/126, 3412/570 is
GCF of Numerators i.e. for 5435,3412 is 1
LCM of denominators i.e. for 126,570 is 11970.
Thus, GCF of Fractions is 1/11970.Finally, GCF of Fractions for 5435/126, 3412/570 is 1/11970.