Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 893/25,295/42,668/125
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 893,295,668
Greatest Common Factor of Numerators i.e. GCF of 893,295,668 is 1 .
LCM of Denominators means LCM of 25,42,125 as per the given fractions.
LCM of 25,42,125 is 5250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 893,295,668
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Greatest Common Factor
We found the factors 893,295,668 . The biggest common factor number is the GCF number.
So the greatest common factor 893,295,668 is 1.
Lets's calculate LCM of 25,42,125
5 | 25, 42, 125 |
5 | 5, 42, 25 |
1, 42, 5 |
∴ So the LCM of the given numbers is 5 x 5 x 1 x 42 x 5 = 5250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5250
Therefore, the GCF of Fractions 893/25,295/42,668/125 is 1/5250
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 25,42,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,42,125) = 1
common factors(in case of two or more numbers have common factors) = 25
GCF(25,42,125) x common factors =1 x 25 = 25
LCM(25,42,125) = ( 25 × 42 × 125 ) / 25
LCM(25,42,125) = 131250 / 25
LCM(25,42,125) = 5250
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 893/25, 295/42, 668/125?
Answer: GCF of Numerators as per given numbers 893/25, 295/42, 668/125 is
GCF of Numerators i.e. for 893,295,668 is 1
LCM of denominators i.e. for 25,42,125 is 5250.
Thus, GCF of Fractions is 1/5250.Finally, GCF of Fractions for 893/25, 295/42, 668/125 is 1/5250.