Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 400/33,295/38,874/435
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 400,295,874
Greatest Common Factor of Numerators i.e. GCF of 400,295,874 is 1 .
LCM of Denominators means LCM of 33,38,435 as per the given fractions.
LCM of 33,38,435 is 181830 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 400,295,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 400,295,874 . The biggest common factor number is the GCF number.
So the greatest common factor 400,295,874 is 1.
Lets's calculate LCM of 33,38,435
3 | 33, 38, 435 |
11, 38, 145 |
∴ So the LCM of the given numbers is 3 x 11 x 38 x 145 = 181830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181830
Therefore, the GCF of Fractions 400/33,295/38,874/435 is 1/181830
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 33,38,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,38,435) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(33,38,435) x common factors =1 x 3 = 3
LCM(33,38,435) = ( 33 × 38 × 435 ) / 3
LCM(33,38,435) = 545490 / 3
LCM(33,38,435) = 181830
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 400/33, 295/38, 874/435?
Answer: GCF of Numerators as per given numbers 400/33, 295/38, 874/435 is
GCF of Numerators i.e. for 400,295,874 is 1
LCM of denominators i.e. for 33,38,435 is 181830.
Thus, GCF of Fractions is 1/181830.Finally, GCF of Fractions for 400/33, 295/38, 874/435 is 1/181830.