Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 946/95,461/21,158/800
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 946,461,158
Greatest Common Factor of Numerators i.e. GCF of 946,461,158 is 1 .
LCM of Denominators means LCM of 95,21,800 as per the given fractions.
LCM of 95,21,800 is 319200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 946,461,158
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 946,461,158 . The biggest common factor number is the GCF number.
So the greatest common factor 946,461,158 is 1.
Lets's calculate LCM of 95,21,800
5 | 95, 21, 800 |
19, 21, 160 |
∴ So the LCM of the given numbers is 5 x 19 x 21 x 160 = 319200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319200
Therefore, the GCF of Fractions 946/95,461/21,158/800 is 1/319200
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 95,21,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,21,800) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(95,21,800) x common factors =1 x 5 = 5
LCM(95,21,800) = ( 95 × 21 × 800 ) / 5
LCM(95,21,800) = 1596000 / 5
LCM(95,21,800) = 319200
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 946/95, 461/21, 158/800?
Answer: GCF of Numerators as per given numbers 946/95, 461/21, 158/800 is
GCF of Numerators i.e. for 946,461,158 is 1
LCM of denominators i.e. for 95,21,800 is 319200.
Thus, GCF of Fractions is 1/319200.Finally, GCF of Fractions for 946/95, 461/21, 158/800 is 1/319200.