Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/53,792/95,768/88
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 27,792,768
Greatest Common Factor of Numerators i.e. GCF of 27,792,768 is 3 .
LCM of Denominators means LCM of 53,95,88 as per the given fractions.
LCM of 53,95,88 is 443080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,792,768
3 | 27, 792, 768 |
9, 264, 256 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 27,792,768 . The biggest common factor number is the GCF number.
So the greatest common factor 27,792,768 is 3.
Lets's calculate LCM of 53,95,88
Given numbers has no common factors except 1. So, there LCM is their product i.e 443080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/443080
Therefore, the GCF of Fractions 27/53,792/95,768/88 is 3/443080
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 53,95,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,95,88) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,95,88) x common factors =1 x 1 = 1
LCM(53,95,88) = ( 53 × 95 × 88 ) / 1
LCM(53,95,88) = 443080 / 1
LCM(53,95,88) = 443080
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 27/53, 792/95, 768/88?
Answer: GCF of Numerators as per given numbers 27/53, 792/95, 768/88 is
GCF of Numerators i.e. for 27,792,768 is 3
LCM of denominators i.e. for 53,95,88 is 443080.
Thus, GCF of Fractions is 3/443080.Finally, GCF of Fractions for 27/53, 792/95, 768/88 is 3/443080.