Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/590,9246/3140
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 59,9246
Greatest Common Factor of Numerators i.e. GCF of 59,9246 is 1 .
LCM of Denominators means LCM of 590,3140 as per the given fractions.
LCM of 590,3140 is 185260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,9246
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 9246
List of positive integer factors of 9246 that divides 9246 without a remainder.
1,2,3,6,23,46,67,69,134,138,201,402,1541,3082,4623,9246
Greatest Common Factor
We found the factors 59,9246 . The biggest common factor number is the GCF number.
So the greatest common factor 59,9246 is 1.
Lets's calculate LCM of 590,3140
2 | 590, 3140 |
5 | 295, 1570 |
59, 314 |
∴ So the LCM of the given numbers is 2 x 5 x 59 x 314 = 185260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185260
Therefore, the GCF of Fractions 59/590,9246/3140 is 1/185260
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 590,3140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,3140) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(590,3140) x common factors =10 x 1 = 10
LCM(590,3140) = ( 590 × 3140 ) / 10
LCM(590,3140) = 1852600 / 10
LCM(590,3140) = 185260
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 59/590, 9246/3140?
Answer: GCF of Numerators as per given numbers 59/590, 9246/3140 is
GCF of Numerators i.e. for 59,9246 is 1
LCM of denominators i.e. for 590,3140 is 185260.
Thus, GCF of Fractions is 1/185260.Finally, GCF of Fractions for 59/590, 9246/3140 is 1/185260.