Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5384/190,1080/9103
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 5384,1080
Greatest Common Factor of Numerators i.e. GCF of 5384,1080 is 8 .
LCM of Denominators means LCM of 190,9103 as per the given fractions.
LCM of 190,9103 is 1729570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5384,1080
2 | 5384, 1080 |
2 | 2692, 540 |
2 | 1346, 270 |
673, 135 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 5384
List of positive integer factors of 5384 that divides 5384 without a remainder.
1,2,4,8,673,1346,2692,5384
Factors of 1080
List of positive integer factors of 1080 that divides 1080 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,90,108,120,135,180,216,270,360,540,1080
Greatest Common Factor
We found the factors 5384,1080 . The biggest common factor number is the GCF number.
So the greatest common factor 5384,1080 is 8.
Lets's calculate LCM of 190,9103
Given numbers has no common factors except 1. So, there LCM is their product i.e 1729570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1729570
Therefore, the GCF of Fractions 5384/190,1080/9103 is 8/1729570
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 190,9103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,9103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(190,9103) x common factors =1 x 1 = 1
LCM(190,9103) = ( 190 × 9103 ) / 1
LCM(190,9103) = 1729570 / 1
LCM(190,9103) = 1729570
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 5384/190, 1080/9103?
Answer: GCF of Numerators as per given numbers 5384/190, 1080/9103 is
GCF of Numerators i.e. for 5384,1080 is 8
LCM of denominators i.e. for 190,9103 is 1729570.
Thus, GCF of Fractions is 8/1729570.Finally, GCF of Fractions for 5384/190, 1080/9103 is 8/1729570.