Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2825/254,2200/7483
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 2825,2200
Greatest Common Factor of Numerators i.e. GCF of 2825,2200 is 25 .
LCM of Denominators means LCM of 254,7483 as per the given fractions.
LCM of 254,7483 is 1900682 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2825,2200
5 | 2825, 2200 |
5 | 565, 440 |
113, 88 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 2825
List of positive integer factors of 2825 that divides 2825 without a remainder.
1,5,25,113,565,2825
Factors of 2200
List of positive integer factors of 2200 that divides 2200 without a remainder.
1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200
Greatest Common Factor
We found the factors 2825,2200 . The biggest common factor number is the GCF number.
So the greatest common factor 2825,2200 is 25.
Lets's calculate LCM of 254,7483
Given numbers has no common factors except 1. So, there LCM is their product i.e 1900682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1900682
Therefore, the GCF of Fractions 2825/254,2200/7483 is 25/1900682
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 254,7483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,7483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,7483) x common factors =1 x 1 = 1
LCM(254,7483) = ( 254 × 7483 ) / 1
LCM(254,7483) = 1900682 / 1
LCM(254,7483) = 1900682
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 2825/254, 2200/7483?
Answer: GCF of Numerators as per given numbers 2825/254, 2200/7483 is
GCF of Numerators i.e. for 2825,2200 is 25
LCM of denominators i.e. for 254,7483 is 1900682.
Thus, GCF of Fractions is 25/1900682.Finally, GCF of Fractions for 2825/254, 2200/7483 is 25/1900682.