Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7765/306,3849/582
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 7765,3849
Greatest Common Factor of Numerators i.e. GCF of 7765,3849 is 1 .
LCM of Denominators means LCM of 306,582 as per the given fractions.
LCM of 306,582 is 29682 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7765,3849
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7765
List of positive integer factors of 7765 that divides 7765 without a remainder.
1,5,1553,7765
Factors of 3849
List of positive integer factors of 3849 that divides 3849 without a remainder.
1,3,1283,3849
Greatest Common Factor
We found the factors 7765,3849 . The biggest common factor number is the GCF number.
So the greatest common factor 7765,3849 is 1.
Lets's calculate LCM of 306,582
2 | 306, 582 |
3 | 153, 291 |
51, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 51 x 97 = 29682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29682
Therefore, the GCF of Fractions 7765/306,3849/582 is 1/29682
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 306,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,582) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(306,582) x common factors =6 x 1 = 6
LCM(306,582) = ( 306 × 582 ) / 6
LCM(306,582) = 178092 / 6
LCM(306,582) = 29682
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 7765/306, 3849/582?
Answer: GCF of Numerators as per given numbers 7765/306, 3849/582 is
GCF of Numerators i.e. for 7765,3849 is 1
LCM of denominators i.e. for 306,582 is 29682.
Thus, GCF of Fractions is 1/29682.Finally, GCF of Fractions for 7765/306, 3849/582 is 1/29682.