Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1646/255,6203/2795
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 1646,6203
Greatest Common Factor of Numerators i.e. GCF of 1646,6203 is 1 .
LCM of Denominators means LCM of 255,2795 as per the given fractions.
LCM of 255,2795 is 142545 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1646,6203
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1646
List of positive integer factors of 1646 that divides 1646 without a remainder.
1,2,823,1646
Factors of 6203
List of positive integer factors of 6203 that divides 6203 without a remainder.
1,6203
Greatest Common Factor
We found the factors 1646,6203 . The biggest common factor number is the GCF number.
So the greatest common factor 1646,6203 is 1.
Lets's calculate LCM of 255,2795
5 | 255, 2795 |
51, 559 |
∴ So the LCM of the given numbers is 5 x 51 x 559 = 142545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142545
Therefore, the GCF of Fractions 1646/255,6203/2795 is 1/142545
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 255,2795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,2795) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(255,2795) x common factors =5 x 1 = 5
LCM(255,2795) = ( 255 × 2795 ) / 5
LCM(255,2795) = 712725 / 5
LCM(255,2795) = 142545
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 1646/255, 6203/2795?
Answer: GCF of Numerators as per given numbers 1646/255, 6203/2795 is
GCF of Numerators i.e. for 1646,6203 is 1
LCM of denominators i.e. for 255,2795 is 142545.
Thus, GCF of Fractions is 1/142545.Finally, GCF of Fractions for 1646/255, 6203/2795 is 1/142545.