Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7003/163,2560/9586
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 7003,2560
Greatest Common Factor of Numerators i.e. GCF of 7003,2560 is 1 .
LCM of Denominators means LCM of 163,9586 as per the given fractions.
LCM of 163,9586 is 1562518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7003,2560
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7003
List of positive integer factors of 7003 that divides 7003 without a remainder.
1,47,149,7003
Factors of 2560
List of positive integer factors of 2560 that divides 2560 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1280,2560
Greatest Common Factor
We found the factors 7003,2560 . The biggest common factor number is the GCF number.
So the greatest common factor 7003,2560 is 1.
Lets's calculate LCM of 163,9586
Given numbers has no common factors except 1. So, there LCM is their product i.e 1562518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1562518
Therefore, the GCF of Fractions 7003/163,2560/9586 is 1/1562518
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 163,9586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,9586) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,9586) x common factors =1 x 1 = 1
LCM(163,9586) = ( 163 × 9586 ) / 1
LCM(163,9586) = 1562518 / 1
LCM(163,9586) = 1562518
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 7003/163, 2560/9586?
Answer: GCF of Numerators as per given numbers 7003/163, 2560/9586 is
GCF of Numerators i.e. for 7003,2560 is 1
LCM of denominators i.e. for 163,9586 is 1562518.
Thus, GCF of Fractions is 1/1562518.Finally, GCF of Fractions for 7003/163, 2560/9586 is 1/1562518.