Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 603/204,103/602,999/889
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 603,103,999
Greatest Common Factor of Numerators i.e. GCF of 603,103,999 is 1 .
LCM of Denominators means LCM of 204,602,889 as per the given fractions.
LCM of 204,602,889 is 7798308 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 603,103,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 603,103,999 . The biggest common factor number is the GCF number.
So the greatest common factor 603,103,999 is 1.
Lets's calculate LCM of 204,602,889
2 | 204, 602, 889 |
7 | 102, 301, 889 |
102, 43, 127 |
∴ So the LCM of the given numbers is 2 x 7 x 102 x 43 x 127 = 7798308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7798308
Therefore, the GCF of Fractions 603/204,103/602,999/889 is 1/7798308
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 204,602,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,602,889) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(204,602,889) x common factors =1 x 14 = 14
LCM(204,602,889) = ( 204 × 602 × 889 ) / 14
LCM(204,602,889) = 109176312 / 14
LCM(204,602,889) = 7798308
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 603/204, 103/602, 999/889?
Answer: GCF of Numerators as per given numbers 603/204, 103/602, 999/889 is
GCF of Numerators i.e. for 603,103,999 is 1
LCM of denominators i.e. for 204,602,889 is 7798308.
Thus, GCF of Fractions is 1/7798308.Finally, GCF of Fractions for 603/204, 103/602, 999/889 is 1/7798308.