Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 949/28,882/51,376/446
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 949,882,376
Greatest Common Factor of Numerators i.e. GCF of 949,882,376 is 1 .
LCM of Denominators means LCM of 28,51,446 as per the given fractions.
LCM of 28,51,446 is 318444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 949,882,376
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
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 949,882,376 . The biggest common factor number is the GCF number.
So the greatest common factor 949,882,376 is 1.
Lets's calculate LCM of 28,51,446
2 | 28, 51, 446 |
14, 51, 223 |
∴ So the LCM of the given numbers is 2 x 14 x 51 x 223 = 318444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318444
Therefore, the GCF of Fractions 949/28,882/51,376/446 is 1/318444
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 28,51,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,51,446) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(28,51,446) x common factors =1 x 2 = 2
LCM(28,51,446) = ( 28 × 51 × 446 ) / 2
LCM(28,51,446) = 636888 / 2
LCM(28,51,446) = 318444
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 949/28, 882/51, 376/446?
Answer: GCF of Numerators as per given numbers 949/28, 882/51, 376/446 is
GCF of Numerators i.e. for 949,882,376 is 1
LCM of denominators i.e. for 28,51,446 is 318444.
Thus, GCF of Fractions is 1/318444.Finally, GCF of Fractions for 949/28, 882/51, 376/446 is 1/318444.