Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 984/96,177/28,125/336
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 984,177,125
Greatest Common Factor of Numerators i.e. GCF of 984,177,125 is 1 .
LCM of Denominators means LCM of 96,28,336 as per the given fractions.
LCM of 96,28,336 is 672 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 984,177,125
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Greatest Common Factor
We found the factors 984,177,125 . The biggest common factor number is the GCF number.
So the greatest common factor 984,177,125 is 1.
Lets's calculate LCM of 96,28,336
2 | 96, 28, 336 |
2 | 48, 14, 168 |
2 | 24, 7, 84 |
2 | 12, 7, 42 |
3 | 6, 7, 21 |
7 | 2, 7, 7 |
2, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 2 x 1 x 1 = 672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672
Therefore, the GCF of Fractions 984/96,177/28,125/336 is 1/672
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 96,28,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,28,336) = 4
common factors(in case of two or more numbers have common factors) = 336
GCF(96,28,336) x common factors =4 x 336 = 1344
LCM(96,28,336) = ( 96 × 28 × 336 ) / 1344
LCM(96,28,336) = 903168 / 1344
LCM(96,28,336) = 672
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 984/96, 177/28, 125/336?
Answer: GCF of Numerators as per given numbers 984/96, 177/28, 125/336 is
GCF of Numerators i.e. for 984,177,125 is 1
LCM of denominators i.e. for 96,28,336 is 672.
Thus, GCF of Fractions is 1/672.Finally, GCF of Fractions for 984/96, 177/28, 125/336 is 1/672.