Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 521/87,177/51,765/493
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 521,177,765
Greatest Common Factor of Numerators i.e. GCF of 521,177,765 is 1 .
LCM of Denominators means LCM of 87,51,493 as per the given fractions.
LCM of 87,51,493 is 1479 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 521,177,765
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 521,177,765 . The biggest common factor number is the GCF number.
So the greatest common factor 521,177,765 is 1.
Lets's calculate LCM of 87,51,493
3 | 87, 51, 493 |
17 | 29, 17, 493 |
29 | 29, 1, 29 |
1, 1, 1 |
∴ So the LCM of the given numbers is 3 x 17 x 29 x 1 x 1 x 1 = 1479
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1479
Therefore, the GCF of Fractions 521/87,177/51,765/493 is 1/1479
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 87,51,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,51,493) = 1
common factors(in case of two or more numbers have common factors) = 1479
GCF(87,51,493) x common factors =1 x 1479 = 1479
LCM(87,51,493) = ( 87 × 51 × 493 ) / 1479
LCM(87,51,493) = 2187441 / 1479
LCM(87,51,493) = 1479
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 521/87, 177/51, 765/493?
Answer: GCF of Numerators as per given numbers 521/87, 177/51, 765/493 is
GCF of Numerators i.e. for 521,177,765 is 1
LCM of denominators i.e. for 87,51,493 is 1479.
Thus, GCF of Fractions is 1/1479.Finally, GCF of Fractions for 521/87, 177/51, 765/493 is 1/1479.