Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 295/92,996/67,676/384
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 295,996,676
Greatest Common Factor of Numerators i.e. GCF of 295,996,676 is 1 .
LCM of Denominators means LCM of 92,67,384 as per the given fractions.
LCM of 92,67,384 is 591744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 295,996,676
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 295,996,676 . The biggest common factor number is the GCF number.
So the greatest common factor 295,996,676 is 1.
Lets's calculate LCM of 92,67,384
2 | 92, 67, 384 |
2 | 46, 67, 192 |
23, 67, 96 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 67 x 96 = 591744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/591744
Therefore, the GCF of Fractions 295/92,996/67,676/384 is 1/591744
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 92,67,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,67,384) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(92,67,384) x common factors =1 x 4 = 4
LCM(92,67,384) = ( 92 × 67 × 384 ) / 4
LCM(92,67,384) = 2366976 / 4
LCM(92,67,384) = 591744
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 295/92, 996/67, 676/384?
Answer: GCF of Numerators as per given numbers 295/92, 996/67, 676/384 is
GCF of Numerators i.e. for 295,996,676 is 1
LCM of denominators i.e. for 92,67,384 is 591744.
Thus, GCF of Fractions is 1/591744.Finally, GCF of Fractions for 295/92, 996/67, 676/384 is 1/591744.