Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 981/39,321/51,520/522
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 981,321,520
Greatest Common Factor of Numerators i.e. GCF of 981,321,520 is 1 .
LCM of Denominators means LCM of 39,51,522 as per the given fractions.
LCM of 39,51,522 is 115362 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 981,321,520
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Greatest Common Factor
We found the factors 981,321,520 . The biggest common factor number is the GCF number.
So the greatest common factor 981,321,520 is 1.
Lets's calculate LCM of 39,51,522
3 | 39, 51, 522 |
13, 17, 174 |
∴ So the LCM of the given numbers is 3 x 13 x 17 x 174 = 115362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115362
Therefore, the GCF of Fractions 981/39,321/51,520/522 is 1/115362
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 39,51,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,51,522) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(39,51,522) x common factors =3 x 3 = 9
LCM(39,51,522) = ( 39 × 51 × 522 ) / 9
LCM(39,51,522) = 1038258 / 9
LCM(39,51,522) = 115362
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 981/39, 321/51, 520/522?
Answer: GCF of Numerators as per given numbers 981/39, 321/51, 520/522 is
GCF of Numerators i.e. for 981,321,520 is 1
LCM of denominators i.e. for 39,51,522 is 115362.
Thus, GCF of Fractions is 1/115362.Finally, GCF of Fractions for 981/39, 321/51, 520/522 is 1/115362.