Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 884/73,376/2719
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 884,376
Greatest Common Factor of Numerators i.e. GCF of 884,376 is 4 .
LCM of Denominators means LCM of 73,2719 as per the given fractions.
LCM of 73,2719 is 198487 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 884,376
2 | 884, 376 |
2 | 442, 188 |
221, 94 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 884,376 . The biggest common factor number is the GCF number.
So the greatest common factor 884,376 is 4.
Lets's calculate LCM of 73,2719
Given numbers has no common factors except 1. So, there LCM is their product i.e 198487
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/198487
Therefore, the GCF of Fractions 884/73,376/2719 is 4/198487
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 73,2719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,2719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,2719) x common factors =1 x 1 = 1
LCM(73,2719) = ( 73 × 2719 ) / 1
LCM(73,2719) = 198487 / 1
LCM(73,2719) = 198487
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 884/73, 376/2719?
Answer: GCF of Numerators as per given numbers 884/73, 376/2719 is
GCF of Numerators i.e. for 884,376 is 4
LCM of denominators i.e. for 73,2719 is 198487.
Thus, GCF of Fractions is 4/198487.Finally, GCF of Fractions for 884/73, 376/2719 is 4/198487.