Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/87,18/132,126/687
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 51,18,126
Greatest Common Factor of Numerators i.e. GCF of 51,18,126 is 3 .
LCM of Denominators means LCM of 87,132,687 as per the given fractions.
LCM of 87,132,687 is 876612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 51,18,126
3 | 51, 18, 126 |
17, 6, 42 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 51,18,126 . The biggest common factor number is the GCF number.
So the greatest common factor 51,18,126 is 3.
Lets's calculate LCM of 87,132,687
3 | 87, 132, 687 |
29, 44, 229 |
∴ So the LCM of the given numbers is 3 x 29 x 44 x 229 = 876612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/876612
Therefore, the GCF of Fractions 51/87,18/132,126/687 is 3/876612
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 87,132,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,132,687) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(87,132,687) x common factors =3 x 3 = 9
LCM(87,132,687) = ( 87 × 132 × 687 ) / 9
LCM(87,132,687) = 7889508 / 9
LCM(87,132,687) = 876612
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 51/87, 18/132, 126/687?
Answer: GCF of Numerators as per given numbers 51/87, 18/132, 126/687 is
GCF of Numerators i.e. for 51,18,126 is 3
LCM of denominators i.e. for 87,132,687 is 876612.
Thus, GCF of Fractions is 3/876612.Finally, GCF of Fractions for 51/87, 18/132, 126/687 is 3/876612.