Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/62,786/30,928/976
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 28,786,928
Greatest Common Factor of Numerators i.e. GCF of 28,786,928 is 2 .
LCM of Denominators means LCM of 62,30,976 as per the given fractions.
LCM of 62,30,976 is 453840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 28,786,928
2 | 28, 786, 928 |
14, 393, 464 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 28,786,928 . The biggest common factor number is the GCF number.
So the greatest common factor 28,786,928 is 2.
Lets's calculate LCM of 62,30,976
2 | 62, 30, 976 |
31, 15, 488 |
∴ So the LCM of the given numbers is 2 x 31 x 15 x 488 = 453840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/453840
Therefore, the GCF of Fractions 28/62,786/30,928/976 is 2/453840
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 62,30,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,30,976) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,30,976) x common factors =2 x 2 = 4
LCM(62,30,976) = ( 62 × 30 × 976 ) / 4
LCM(62,30,976) = 1815360 / 4
LCM(62,30,976) = 453840
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 28/62, 786/30, 928/976?
Answer: GCF of Numerators as per given numbers 28/62, 786/30, 928/976 is
GCF of Numerators i.e. for 28,786,928 is 2
LCM of denominators i.e. for 62,30,976 is 453840.
Thus, GCF of Fractions is 2/453840.Finally, GCF of Fractions for 28/62, 786/30, 928/976 is 2/453840.