Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/565,95/856,618/260
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 47,95,618
Greatest Common Factor of Numerators i.e. GCF of 47,95,618 is 1 .
LCM of Denominators means LCM of 565,856,260 as per the given fractions.
LCM of 565,856,260 is 6287320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,95,618
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 47,95,618 . The biggest common factor number is the GCF number.
So the greatest common factor 47,95,618 is 1.
Lets's calculate LCM of 565,856,260
2 | 565, 856, 260 |
2 | 565, 428, 130 |
5 | 565, 214, 65 |
113, 214, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 113 x 214 x 13 = 6287320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6287320
Therefore, the GCF of Fractions 47/565,95/856,618/260 is 1/6287320
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 565,856,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,856,260) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(565,856,260) x common factors =1 x 20 = 20
LCM(565,856,260) = ( 565 × 856 × 260 ) / 20
LCM(565,856,260) = 125746400 / 20
LCM(565,856,260) = 6287320
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 47/565, 95/856, 618/260?
Answer: GCF of Numerators as per given numbers 47/565, 95/856, 618/260 is
GCF of Numerators i.e. for 47,95,618 is 1
LCM of denominators i.e. for 565,856,260 is 6287320.
Thus, GCF of Fractions is 1/6287320.Finally, GCF of Fractions for 47/565, 95/856, 618/260 is 1/6287320.