Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6163/410,9486/9614
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 6163,9486
Greatest Common Factor of Numerators i.e. GCF of 6163,9486 is 1 .
LCM of Denominators means LCM of 410,9614 as per the given fractions.
LCM of 410,9614 is 1970870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6163,9486
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6163
List of positive integer factors of 6163 that divides 6163 without a remainder.
1,6163
Factors of 9486
List of positive integer factors of 9486 that divides 9486 without a remainder.
1,2,3,6,9,17,18,31,34,51,62,93,102,153,186,279,306,527,558,1054,1581,3162,4743,9486
Greatest Common Factor
We found the factors 6163,9486 . The biggest common factor number is the GCF number.
So the greatest common factor 6163,9486 is 1.
Lets's calculate LCM of 410,9614
2 | 410, 9614 |
205, 4807 |
∴ So the LCM of the given numbers is 2 x 205 x 4807 = 1970870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1970870
Therefore, the GCF of Fractions 6163/410,9486/9614 is 1/1970870
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 410,9614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,9614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(410,9614) x common factors =2 x 1 = 2
LCM(410,9614) = ( 410 × 9614 ) / 2
LCM(410,9614) = 3941740 / 2
LCM(410,9614) = 1970870
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 6163/410, 9486/9614?
Answer: GCF of Numerators as per given numbers 6163/410, 9486/9614 is
GCF of Numerators i.e. for 6163,9486 is 1
LCM of denominators i.e. for 410,9614 is 1970870.
Thus, GCF of Fractions is 1/1970870.Finally, GCF of Fractions for 6163/410, 9486/9614 is 1/1970870.