Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/87,580/60,882/391
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 66,580,882
Greatest Common Factor of Numerators i.e. GCF of 66,580,882 is 2 .
LCM of Denominators means LCM of 87,60,391 as per the given fractions.
LCM of 87,60,391 is 680340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 66,580,882
2 | 66, 580, 882 |
33, 290, 441 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 66,580,882 . The biggest common factor number is the GCF number.
So the greatest common factor 66,580,882 is 2.
Lets's calculate LCM of 87,60,391
3 | 87, 60, 391 |
29, 20, 391 |
∴ So the LCM of the given numbers is 3 x 29 x 20 x 391 = 680340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/680340
Therefore, the GCF of Fractions 66/87,580/60,882/391 is 2/680340
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 87,60,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,60,391) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,60,391) x common factors =1 x 3 = 3
LCM(87,60,391) = ( 87 × 60 × 391 ) / 3
LCM(87,60,391) = 2041020 / 3
LCM(87,60,391) = 680340
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 66/87, 580/60, 882/391?
Answer: GCF of Numerators as per given numbers 66/87, 580/60, 882/391 is
GCF of Numerators i.e. for 66,580,882 is 2
LCM of denominators i.e. for 87,60,391 is 680340.
Thus, GCF of Fractions is 2/680340.Finally, GCF of Fractions for 66/87, 580/60, 882/391 is 2/680340.