Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 554/84,378/976
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 554,378
Greatest Common Factor of Numerators i.e. GCF of 554,378 is 2 .
LCM of Denominators means LCM of 84,976 as per the given fractions.
LCM of 84,976 is 20496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 554,378
2 | 554, 378 |
277, 189 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 554,378 . The biggest common factor number is the GCF number.
So the greatest common factor 554,378 is 2.
Lets's calculate LCM of 84,976
2 | 84, 976 |
2 | 42, 488 |
21, 244 |
∴ So the LCM of the given numbers is 2 x 2 x 21 x 244 = 20496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20496
Therefore, the GCF of Fractions 554/84,378/976 is 2/20496
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 84,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,976) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(84,976) x common factors =4 x 1 = 4
LCM(84,976) = ( 84 × 976 ) / 4
LCM(84,976) = 81984 / 4
LCM(84,976) = 20496
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 554/84, 378/976?
Answer: GCF of Numerators as per given numbers 554/84, 378/976 is
GCF of Numerators i.e. for 554,378 is 2
LCM of denominators i.e. for 84,976 is 20496.
Thus, GCF of Fractions is 2/20496.Finally, GCF of Fractions for 554/84, 378/976 is 2/20496.