Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 610/581,7587/110
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 610,7587
Greatest Common Factor of Numerators i.e. GCF of 610,7587 is 1 .
LCM of Denominators means LCM of 581,110 as per the given fractions.
LCM of 581,110 is 63910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 610,7587
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 7587
List of positive integer factors of 7587 that divides 7587 without a remainder.
1,3,9,27,281,843,2529,7587
Greatest Common Factor
We found the factors 610,7587 . The biggest common factor number is the GCF number.
So the greatest common factor 610,7587 is 1.
Lets's calculate LCM of 581,110
Given numbers has no common factors except 1. So, there LCM is their product i.e 63910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63910
Therefore, the GCF of Fractions 610/581,7587/110 is 1/63910
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 581,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,110) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,110) x common factors =1 x 1 = 1
LCM(581,110) = ( 581 × 110 ) / 1
LCM(581,110) = 63910 / 1
LCM(581,110) = 63910
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 610/581, 7587/110?
Answer: GCF of Numerators as per given numbers 610/581, 7587/110 is
GCF of Numerators i.e. for 610,7587 is 1
LCM of denominators i.e. for 581,110 is 63910.
Thus, GCF of Fractions is 1/63910.Finally, GCF of Fractions for 610/581, 7587/110 is 1/63910.