Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7698/582,3154/805
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 7698,3154
Greatest Common Factor of Numerators i.e. GCF of 7698,3154 is 2 .
LCM of Denominators means LCM of 582,805 as per the given fractions.
LCM of 582,805 is 468510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7698,3154
2 | 7698, 3154 |
3849, 1577 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7698
List of positive integer factors of 7698 that divides 7698 without a remainder.
1,2,3,6,1283,2566,3849,7698
Factors of 3154
List of positive integer factors of 3154 that divides 3154 without a remainder.
1,2,19,38,83,166,1577,3154
Greatest Common Factor
We found the factors 7698,3154 . The biggest common factor number is the GCF number.
So the greatest common factor 7698,3154 is 2.
Lets's calculate LCM of 582,805
Given numbers has no common factors except 1. So, there LCM is their product i.e 468510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/468510
Therefore, the GCF of Fractions 7698/582,3154/805 is 2/468510
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 582,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,805) x common factors =1 x 1 = 1
LCM(582,805) = ( 582 × 805 ) / 1
LCM(582,805) = 468510 / 1
LCM(582,805) = 468510
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 7698/582, 3154/805?
Answer: GCF of Numerators as per given numbers 7698/582, 3154/805 is
GCF of Numerators i.e. for 7698,3154 is 2
LCM of denominators i.e. for 582,805 is 468510.
Thus, GCF of Fractions is 2/468510.Finally, GCF of Fractions for 7698/582, 3154/805 is 2/468510.