Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/510,610/956,121/660
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 40,610,121
Greatest Common Factor of Numerators i.e. GCF of 40,610,121 is 1 .
LCM of Denominators means LCM of 510,956,660 as per the given fractions.
LCM of 510,956,660 is 2681580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,610,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
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 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 40,610,121 . The biggest common factor number is the GCF number.
So the greatest common factor 40,610,121 is 1.
Lets's calculate LCM of 510,956,660
2 | 510, 956, 660 |
2 | 255, 478, 330 |
3 | 255, 239, 165 |
5 | 85, 239, 55 |
17, 239, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 17 x 239 x 11 = 2681580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2681580
Therefore, the GCF of Fractions 40/510,610/956,121/660 is 1/2681580
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 510,956,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,956,660) = 2
common factors(in case of two or more numbers have common factors) = 60
GCF(510,956,660) x common factors =2 x 60 = 120
LCM(510,956,660) = ( 510 × 956 × 660 ) / 120
LCM(510,956,660) = 321789600 / 120
LCM(510,956,660) = 2681580
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 40/510, 610/956, 121/660?
Answer: GCF of Numerators as per given numbers 40/510, 610/956, 121/660 is
GCF of Numerators i.e. for 40,610,121 is 1
LCM of denominators i.e. for 510,956,660 is 2681580.
Thus, GCF of Fractions is 1/2681580.Finally, GCF of Fractions for 40/510, 610/956, 121/660 is 1/2681580.