Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 663/93,8568/632
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 663,8568
Greatest Common Factor of Numerators i.e. GCF of 663,8568 is 51 .
LCM of Denominators means LCM of 93,632 as per the given fractions.
LCM of 93,632 is 58776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 663,8568
3 | 663, 8568 |
17 | 221, 2856 |
13, 168 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 8568
List of positive integer factors of 8568 that divides 8568 without a remainder.
1,2,3,4,6,7,8,9,12,14,17,18,21,24,28,34,36,42,51,56,63,68,72,84,102,119,126,136,153,168,204,238,252,306,357,408,476,504,612,714,952,1071,1224,1428,2142,2856,4284,8568
Greatest Common Factor
We found the factors 663,8568 . The biggest common factor number is the GCF number.
So the greatest common factor 663,8568 is 51.
Lets's calculate LCM of 93,632
Given numbers has no common factors except 1. So, there LCM is their product i.e 58776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/58776
Therefore, the GCF of Fractions 663/93,8568/632 is 51/58776
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 93,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,632) x common factors =1 x 1 = 1
LCM(93,632) = ( 93 × 632 ) / 1
LCM(93,632) = 58776 / 1
LCM(93,632) = 58776
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 663/93, 8568/632?
Answer: GCF of Numerators as per given numbers 663/93, 8568/632 is
GCF of Numerators i.e. for 663,8568 is 51
LCM of denominators i.e. for 93,632 is 58776.
Thus, GCF of Fractions is 51/58776.Finally, GCF of Fractions for 663/93, 8568/632 is 51/58776.