Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2885/450,7702/3984
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 2885,7702
Greatest Common Factor of Numerators i.e. GCF of 2885,7702 is 1 .
LCM of Denominators means LCM of 450,3984 as per the given fractions.
LCM of 450,3984 is 298800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2885,7702
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2885
List of positive integer factors of 2885 that divides 2885 without a remainder.
1,5,577,2885
Factors of 7702
List of positive integer factors of 7702 that divides 7702 without a remainder.
1,2,3851,7702
Greatest Common Factor
We found the factors 2885,7702 . The biggest common factor number is the GCF number.
So the greatest common factor 2885,7702 is 1.
Lets's calculate LCM of 450,3984
2 | 450, 3984 |
3 | 225, 1992 |
75, 664 |
∴ So the LCM of the given numbers is 2 x 3 x 75 x 664 = 298800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298800
Therefore, the GCF of Fractions 2885/450,7702/3984 is 1/298800
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 450,3984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,3984) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(450,3984) x common factors =6 x 1 = 6
LCM(450,3984) = ( 450 × 3984 ) / 6
LCM(450,3984) = 1792800 / 6
LCM(450,3984) = 298800
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 2885/450, 7702/3984?
Answer: GCF of Numerators as per given numbers 2885/450, 7702/3984 is
GCF of Numerators i.e. for 2885,7702 is 1
LCM of denominators i.e. for 450,3984 is 298800.
Thus, GCF of Fractions is 1/298800.Finally, GCF of Fractions for 2885/450, 7702/3984 is 1/298800.