Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5580/900,6838/2519
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 5580,6838
Greatest Common Factor of Numerators i.e. GCF of 5580,6838 is 2 .
LCM of Denominators means LCM of 900,2519 as per the given fractions.
LCM of 900,2519 is 2267100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5580,6838
2 | 5580, 6838 |
2790, 3419 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5580
List of positive integer factors of 5580 that divides 5580 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,31,36,45,60,62,90,93,124,155,180,186,279,310,372,465,558,620,930,1116,1395,1860,2790,5580
Factors of 6838
List of positive integer factors of 6838 that divides 6838 without a remainder.
1,2,13,26,263,526,3419,6838
Greatest Common Factor
We found the factors 5580,6838 . The biggest common factor number is the GCF number.
So the greatest common factor 5580,6838 is 2.
Lets's calculate LCM of 900,2519
Given numbers has no common factors except 1. So, there LCM is their product i.e 2267100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2267100
Therefore, the GCF of Fractions 5580/900,6838/2519 is 2/2267100
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 900,2519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,2519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(900,2519) x common factors =1 x 1 = 1
LCM(900,2519) = ( 900 × 2519 ) / 1
LCM(900,2519) = 2267100 / 1
LCM(900,2519) = 2267100
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 5580/900, 6838/2519?
Answer: GCF of Numerators as per given numbers 5580/900, 6838/2519 is
GCF of Numerators i.e. for 5580,6838 is 2
LCM of denominators i.e. for 900,2519 is 2267100.
Thus, GCF of Fractions is 2/2267100.Finally, GCF of Fractions for 5580/900, 6838/2519 is 2/2267100.