Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 894/279,2733/2192
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 894,2733
Greatest Common Factor of Numerators i.e. GCF of 894,2733 is 3 .
LCM of Denominators means LCM of 279,2192 as per the given fractions.
LCM of 279,2192 is 611568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 894,2733
3 | 894, 2733 |
298, 911 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 2733
List of positive integer factors of 2733 that divides 2733 without a remainder.
1,3,911,2733
Greatest Common Factor
We found the factors 894,2733 . The biggest common factor number is the GCF number.
So the greatest common factor 894,2733 is 3.
Lets's calculate LCM of 279,2192
Given numbers has no common factors except 1. So, there LCM is their product i.e 611568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/611568
Therefore, the GCF of Fractions 894/279,2733/2192 is 3/611568
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 279,2192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,2192) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,2192) x common factors =1 x 1 = 1
LCM(279,2192) = ( 279 × 2192 ) / 1
LCM(279,2192) = 611568 / 1
LCM(279,2192) = 611568
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 894/279, 2733/2192?
Answer: GCF of Numerators as per given numbers 894/279, 2733/2192 is
GCF of Numerators i.e. for 894,2733 is 3
LCM of denominators i.e. for 279,2192 is 611568.
Thus, GCF of Fractions is 3/611568.Finally, GCF of Fractions for 894/279, 2733/2192 is 3/611568.