Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 128/24,360/69,952/966
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 128,360,952
Greatest Common Factor of Numerators i.e. GCF of 128,360,952 is 8 .
LCM of Denominators means LCM of 24,69,966 as per the given fractions.
LCM of 24,69,966 is 3864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 128,360,952
2 | 128, 360, 952 |
2 | 64, 180, 476 |
2 | 32, 90, 238 |
16, 45, 119 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 128,360,952 . The biggest common factor number is the GCF number.
So the greatest common factor 128,360,952 is 8.
Lets's calculate LCM of 24,69,966
2 | 24, 69, 966 |
3 | 12, 69, 483 |
23 | 4, 23, 161 |
4, 1, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 4 x 1 x 7 = 3864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3864
Therefore, the GCF of Fractions 128/24,360/69,952/966 is 8/3864
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 24,69,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,69,966) = 3
common factors(in case of two or more numbers have common factors) = 138
GCF(24,69,966) x common factors =3 x 138 = 414
LCM(24,69,966) = ( 24 × 69 × 966 ) / 414
LCM(24,69,966) = 1599696 / 414
LCM(24,69,966) = 3864
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 128/24, 360/69, 952/966?
Answer: GCF of Numerators as per given numbers 128/24, 360/69, 952/966 is
GCF of Numerators i.e. for 128,360,952 is 8
LCM of denominators i.e. for 24,69,966 is 3864.
Thus, GCF of Fractions is 8/3864.Finally, GCF of Fractions for 128/24, 360/69, 952/966 is 8/3864.